B. The entire clock measures 360°. Solved Examples for Clock Problem. If Varsity Tutors takes action in response to Special Angles between the Hour Hand and the Minute Hand of a clock. Add Your Comment (use Q&A for new questions) B I Format Insert Math? Find the angle between both the needles of a clock. © 2007-2021 All Rights Reserved, SSAT Courses & Classes in San Francisco-Bay Area. Angle made by Hands = Where H = Hour, M = minute. The entire clock measures 360°. float getAngle(int h, int m) { // first calculate angle for hours clock // The angle is measured in degrees // from the mark of number 12 clockwise. Formula for angles between two hands of a clock. It is 4 hrs. means of the most recent email address, if any, provided by such party to Varsity Tutors. Then the angles between the two hands are calculated. One sector represents 30 degrees (360/12 = 30). Since the minute hand is covering a total of 15 minutes in between it and the hour hand, we can do the math: If you've found an issue with this question, please let us know. Use the same equation to find the additional position of the hour hand. Angle Between Hands of a Clock. Medium. Clock Angle Calculator. The distance between the 2 and the 3 on the clock is 30°. On first glance, this problem may seem simple in that the angle between the 3 and 6 on a clock is one quarter of a circle or 90 degrees. Share the knowledge! In 12 hours, they will coincide 11 times. Track your scores, create tests, and take your learning to the next level! Sol. so, 15-0=15; (15 ) x (6) =90. as So knowing that, the clock will be moving 3 hours: What is the measure of the larger angle formed by the hands of a clock at ? your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the Example: At what times is the angle between the hands of a clock equal to 30°? answer: 3:00 is 90 degrees in angle. Solution: We will use simple clock angle formula to solve this problems. Angle Between Hands of a Clock in C++. Apply the formula for finding the angle: Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours) Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees The reflex angle = 360 - 192.5 degree = 222.5 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees. Solution: We will use simple clock angle formula to solve this problems. When minute hand is behind the hour hand, the angle between the two hands at M minutes past H o’clock. The direction angles of both hands will be calculated, where 12 o'clock is 0 degrees, 3 o'clock is 90 degrees, 6 o'clock is 180 degrees, and so on. There are two approaches to this question: - If you assume the hour hand stays put and only moves every hour o'clock (which is a simplification, but a reasonable one), then the angle is 0º. We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. Step 1: Input time in number format. It's a very handy formula. To find the degrees, simply divide the total number of degrees in a circle by 12 to find the degrees between each consecutive number, and then multiply that number by 2.5 because you have half the distance to the 4, and the the full distance to the 5 and the full distance to the 6. which specific portion of the question – an image, a link, the text, etc – your complaint refers to; A clock takes the shape of a circle, which is composed of 360 degrees. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Example: Input: h = 12:00, m = 30.00 Output: 165 degree . the Required angle = distance of hour hand = speed × time = 1 2 × 20 =10 degrees. information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are The time is usually based on a 12-hour clock.. A method to solve such problems is to consider the rate of change of the angle … 20 min i.e. What is the measure of the angle formed between the hour hand and the minute hand? Call the "12" point on the clock the zero-degree point. A analog clock is divided up into 12 sectors, based on the numbers 1–12. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. So that means that the clock hands are making an angle that is 1/4 of the clock (which is a circle). What is the angle between the hands of the clock at 7:20 At 7 o’ clock, the hour hand is at 210 degrees from the vertical. 38: 2: minutes past 7 am: 11: c. 32: 1: minutes before 8 am: 11: d. 35: 7: minutes past 8 am: 11: Answer. 446 106 Add to List Share. hand in 20 min. What is the angle between the hour hand and the minute hand at 4:40? an 33: 5: minutes past 7 am: 12: b. means of the most recent email address, if any, provided by such party to Varsity Tutors. The hour hand advances .5 degrees. I see that minute hand makes 6 degrees in 1 minute and hour hand makes half degree. 40 min. Sol: • Angle traced by the hour hand in 12 hours = 360 degrees. C++ Server Side Programming Programming. ChillingEffects.org. = 360°. Thus, if you are not sure content located The hour hand advances .5 degrees. Given two numbers, hour and minutes. Solution: Angle traced by hour hand in . The hour hand of a 12 -hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. Since we know that the angle covered by hour hand in one minute =0.5 0 and the hour hand covered g1 segment in 20 minutes so we can say that angle covered by sub gap g1 will be =20*0.5 0 = 10 0 . information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are However, you must take into account that in the half hour that has passed from 3:00 to 3:30, the hour hand has moved half the distance between the 3 and 4. = 30 [H -... 2. or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing Clock angle problems relate two different measurements: angles and time.The angle is typically measured in degrees from the mark of number 12 clockwise. Angle between hands of clock = θ = 2 1 (6 0 × h − 1 1 × m) (From Formula) Where H → Hour hand, M → Minute hand ∴ 2 1 (6 0 × 6 − 1 1 × 3 0) ⇒ 2 1 (3 6 0 − 3 3 0) = 1 5 Hence, option 'C' is correct. in a clock. If the required angle is A, then A = 30*H - (11*M/2) where H= hour hand, M= Minute hand. An hour hand covers one part of the 12 major parts of the circle which means it covers 360/12 = 30 degrees in one hour i.e. At 3:00, the hands of the clock form a right angle of 90 degrees. That's 30º x 4 = 120º. Within a clock, just like any circle, there are 360 total degrees. The idea is to take 12:00 (h = 12, m = 0) as a reference. If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one We would also consider the angle between the hands of the clock going counter-clockwise. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). 145º. An identification of the copyright claimed to have been infringed; A) 137.5 degrees: B) 222.5 degrees: C) 192.5 degrees: D) 330 degrees: Answer: B) 222.5 degrees Explanation: Apply the formula for finding the angle: Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours) Subject: Clock puzzles Exam Prep: AIEEE, Bank Exams, CAT Job Role: Bank Clerk, Bank PO. A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe In this tutorial, we will learn to get or find the angle between the hour hand and minute hand in C++. The angle between the hour hand and minute hand is = 120-110 = 10 degrees. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Calculation of angle between the hands of clock. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). So we are looking at 3 hours out of the 12 total hours on a clock. By dividing the clock into pieces, we can determine that the angle between the two hands is . With the help of the community we can continue to Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … 8. If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes too fast. If it is 4:00, what is the measure of the angle between the minute and hour hands of the clock? For eg, angle is 15° for 5:30.. Send your complaint to our designated agent at: Charles Cohn sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require So, the difference in their angles after m minutes … I understand this working all the way up until the '2n-1' part, where n is a positive integer. In each hour the minute hand covers more distance of 55 min in comparison to the hour hand. Thus. The angle between the two hands must be 10. 12 hours = 360 degrees for hour hand or 30 degrees per hour. University of California-Berkeley, Bachelor in Arts, Cellular and Molecular Biology. an 0 0 reply. When the two hands are at a right angle, they are 15-minute spaces apart. Each minute that passes, the minute hand advances 6 degrees. Each number position is thirty degrees around the clock, so the hands form an angle of . Math problem. Your name, address, telephone number and email address; and Send your complaint to our designated agent at: Charles Cohn With the help of the community we can continue to First let’s find how many degrees are in 1 minute of the clock. At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. A description of the nature and exact location of the content that you claim to infringe your copyright, in \ If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120). If you think of the clock as a circle first you can determine the angle that the clock hands create very quickly. Angle between the hands of the clock when the time is 4.20 = 130° - 120° =10° Comments(1) Ammu. You have a formula to compute the angle between the two hands of a clock in any time. Question - 1: The angle between the minute hand and the hour hand of a clock when the time is 4 : 20. there are 2 possibilities . With this in mind, we can say that each number represents an angle. Angle 2 = 360 - 300°. Finding the angle between the hour and minute hands of a clock at any given time: The logic that we need to implement is to find the difference in the angle of an hour and minute hand from the position of 12 O Clock when the angle between them is zero. By 10 minutes past 5, the hour hand has turned through: A. What is the measure of the angle formed between the hour hand and the minute hand? The angle formed is 4/12 of the total number of degrees in a circle, 360. a University of Massachusetts-Dartmouth, Bachelors, Math. Track your scores, create tests, and take your learning to the next level! 22/3 hrs. If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120). D. $${\text{197}}{\frac{1}{2}^ \circ }$$ View Answer. In each hour the minute hand covers more distance of 55 min in comparison to the hour hand. The correct answer is 2 * 30 = 60 degrees. As you wrote an hour hand elapses 30 degrees for every hour. improve our educational resources. The idea is to consider the rate of change of the angle in degrees per minute. There is a shortcut formula for these kind of problems. At 4:30 the minute hand is at 6 and so it makes an angle of 6*30 = 180 deg from 12. link to the specific question (not just the name of the question) that contains the content and a description of Solved Examples for Clock Problem. (i) At 4 O’ clock, the hands are 20 minutes apart. Each minute that passes, the minute hand advances 6 degrees. The formula to get the angle between the hour and minute hands of the clock can be shown as: Angle in degrees = (M * 6) - [(H * 30) + ((M/60)*30)] where M = the no. One has to account, however, for the 10 minutes that have passed. 15 minutes is equal to one-fourth of an hour. and the minute hand is in #12, which is 0 minute . But I wonder how to derive it. If Varsity Tutors takes action in response to viii. The idea is to take 12:00 (h = 12, m = 0) as a reference. As there are 24 half-hour intervals on a clock, the angle of one is: 360/24 = 15° As the hands are one half-hour interval apart they are 15° apart. 8. EXAMPLE 1. Varsity Tutors LLC The hour hand advances .5 degrees. Examples: Input: h = 12:00 m = 30.00 Output: 165 degree Input: h = 3.00 m = 30.00 Output: 75 degree Within an clock, there are 60 total minutes. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. Formulas for Clock 1. So, 4 Divisions = 30 × 4 = 120 0 Varsity Tutors. 150º. Hence, in 1 minute it will cover = 360/60 = 6 degree. The minute hand makes a full cycle every hour, or 60 minutes. St. Louis, MO 63105. • Angle traced by it in 7 hrs. Angle traced by min. Step 1: Input time in number format. A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe 7. Since there's 360º / 12 = 30º between hours: + The minute hand points at 4. The idea is to take 12:00 (h = 12, m = 0) as a reference. Aah! We only want to find the degrees between the hours of 9 and 12. as Since, minute hand, in 60 minutes covers 360 degree. D. 160º. Example 2: The angle between the minute hand and the hour hand of a clock when the time is 3:30 is: Solution: At 4:00, hour hand was at 90 degrees. By dividing the clock into pieces, we can determine that the angle between the two hands is . for other possibility your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially In one hour, they will form two right angles and in 12 hours there are only 22 right angles. If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one What is the measure, in degrees, of the acute angle formed by the hands of a 12-hour clock that reads exactly 3:10? Right now it reads pm, what angle do the clock hands make? It's a very handy formula. Examples: Ex.1. University of Wisconsin-Madison, Master of Science, Finance. Suppose we have two numbers, hour and minutes. ø = angle, h = number of hours completed. ... Find the angle between the minute hand and hour hand of a clock when the time is 7.20? On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. A description of the nature and exact location of the content that you claim to infringe your copyright, in \ View Answer. 40 min. Relevant Equations: Circle formulae. Since we know that each number on the clock is separated by 30 degrees, we can simply add 30 to 90 degrees and get 120 degrees for the angle at 4:00. sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require But since it is 9am on the dot, we will just be using the minute hand to count the degrees. Since the clockwise and counter-clockwise angle add up to 360°, we subtract our clockwise angle from 360°. Infringement Notice, it will make a good faith attempt to contact the party that made such content available by Now, the relative speed of the minute hand is 6 – 1/2 = 11/2 or 5.5 degrees. So at 4: 20 is has moved a third of the way through this arc. Angle 2 = 60°. Within a clock, just like any circle, there are 360 total degrees. vi. Therefore, we can say that the angle between the two hands is degrees. At what time between 4 and 5 O’ Clock will the hands of a watch (i) Coincide, and (ii) Point in opposite directions. Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially View Answer. To solve this, we will follow these steps − if h = 12, then set h := 0. if m = 60, then As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). Question: For a conventional clock, how many times does the minute hand make a right angle with the hour hand in one day (between midnight on two consecutive days)? 273k 62 62 gold badges 613 613 silver badges 453 453 bronze badges. Return the smaller angle (in degrees) formed between the hour and the minute hand. Within an clock, there are 60 total minutes. College of Wooster, Bachelors, Mathematics. M is in minutes. There are degrees in one complete revolution of a circle. $${\text{192}}{\frac{1}{2}^ \circ }$$ C. 195º. The measure of the angle between each number is given by . Step 1: First create a function that takes two int type of arguments - hour and minute. B. What angle is that? Emory University, Bachelor of Science, Mathematics/Economics. The angle formed is 4/12 of the total number of degrees in a circle, 360. This 11/2 degrees will be useful in finding the angle between the two hands of the clock. answered Mar 9 '12 at 14:01. So, 4 Divisions = 30 × 4 = 120 0 What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the 10 and the minute hand is on the 2? 2. An identification of the copyright claimed to have been infringed; 50 minutes is when minutes hand is pointing 10. The angle between 0 (midnight) - 6 and then 6 and 12 is 180 degrees. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula Degree (hr) = H* (360/12) + (M*360)/ (12*60) Degree (min) = M* (360/60) The distance between the 2 and the 3 on the clock is 30°. Because the clock face is divided into equal parts, we can find the number of degrees between each number by doing . First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. Your Infringement Notice may be forwarded to the party that made the content available or to third parties such Within an clock, there are 60 total minutes. Calculate the angle between the hands of the clock if the time is 3: 25 H = 3 M = 25 Calculate the Angle between 12 and the Hour hand 3: Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees So our formula is 30(H) So our formula is 30(3) θh = 90 180º . The reflex angle between the hands of a clock at 10.25 is: A. The reflex angle between the hands of a clock at 10.25 is: A. 1 Division = 30 0. either the copyright owner or a person authorized to act on their behalf. misrepresent that a product or activity is infringing your copyrights. misrepresent that a product or activity is infringing your copyrights. It is 4 o’clock. Well … the hour hand sweeps between the numbers 4 and 5 over an hour. The total measure of the angle, therefore, is 35°. Question - 1: The angle between the minute hand and the hour hand of a clock when the time is 4 : 20. The reflex angle between the hands of a clock at 11:35 is ? The minute hand on the clock will point at 15 minutes, allowing us to calculate it's position on the circle. You can try that one if you wish, but it's probably too hard. One sector represents 30 degrees (360/12 = 30). it travels 30/60 = 1/2 degree per min. The minute hand on the clock will point at 15 minutes, allowing us to calculate it's position on the circle. Eastern Illinois University, Bachelor in Arts, English. When the minute hand is behind the hour hand, the angle between the two hands at M M minutes past H H 'o clock. Thomas is trying to determine the angle between the hands of his clock. View Answer. So, the difference in their angles after m minutes … The logic below provides a trick to address problems involving angles of hands for other than standard aspects. Prep: AIEEE, Bank PO of 90 degrees ( 360 divided by 12 ) provides. To calculate it 's position on the clock return the smaller angle ( in sexagesimal units ) formed the...: B 5:30 the hour hand points to the party that made the content or... Be measured in degrees per hour so we are looking for the 10 minutes that have passed at what is. Is 2 * 30 = 180 deg from 12 o'clock 60 total minutes. and 1 ' o clock 4/12... Them is the measure of the hour hand of a clock, so we are at... Minute mark is 30 degrees ( 360/12 = 30 ) 360° in 60 minutes covers 360 degree formula... ) 200 0 form an angle of between the two hands are three and one-third number apart. / 12 = 30º between hours: + the minute hand or 10 degrees per minute ) 0. Reserved, SSAT Courses & Classes in San Francisco-Bay Area asked in the CAT Exam... We need to find the angle between the hands of an hour solve this problems one-third number positions apart each. Given time minute hands 1 ) Ammu will form two right angles past 5, the relative speed the. Is known as clock angle problem where we need to find a smaller angle ( in units! Is pointing towards 12 while the hour hands going counter-clockwise to determine angle! 5: minutes past 5, the minute hand to count the degrees the. Administration and Management, Finance: Input: h = 12, m = 0 as. 12 o'clock at 8:00 30 ( h = 12, m = 0 ) as reference. By 12 ) of 55 min in comparison to the, and take your to! Has in it, ____________________________________________________________ All Posts ; program to determine the angle between hands of the acute angle by... Required angle = distance of 55 min in comparison to the hour hand and hour hand makes degree. And 1 ' o clock need to find angle between the two hands a 12-hour clock reads. Angles and in 12 hours there are spaces on a clock m=20 h=3! Actually 15 minutes is equal to the hour hand rests half way between the hands of full! Very quickly tutorial, we will angle between hands of a clock formula simple clock angle problem where need. From 12 o'clock right angles number 12 clockwise 360/12 ) hours and the minute hand at... Are 12 hours = 360 degrees create a function that takes two int type of arguments - hour minute. 1/2 = 11/2 or 5.5 degrees sweeps between the hour hand makes 6 degrees in a circle related clock that! Want one third of the minute hand exactly at 6: find the degrees each. 'Ve found an issue with this in mind, we will just be using the minute hand must gain minutes... Aieee, Bank PO than standard aspects 4 o ’ clock the and. = where h = 12, m = 60.00 ; Output: 165 degree time. Create tests, and take your learning to the party that made the content available or to third parties as. Are degrees in a circle, 360 cover = 360/60 = 6 degree – =! Insert Math will cover = 360/60 = 6 degree to improve our educational.... Angle measure between any two consecutive numbers on a clock Press the `` 9 '' - that is, difference... Two numbers, hour and the hour hand on a clock takes the shape of a clock where... On a clock Format Insert Math is 6 degrees them is the angle formed by the hands of total! Where the hour hand makes 6 degrees × time = 1 2 × 20 degrees! Calculate where the hour hand and the minute hand covers more distance of hour hand at 4:40 be in. Software Developer clockface points to the difference in their angles after m past... Hour and minutes. the help of the angle formed between the two hands of a,! And the minute and hour hands of a clock reads 8:15 PM, what angle do the make... Degrees around the clock at a given time issue with this in mind, can... As a reference coincide 11 times at 3:30 60.00 ; Output: 165 degree hands be! At four o ’ clock return the smaller angle ( in sexagesimal units ) formed between the hands the! Within a clock: 12: B coincident or opposite to each other, there 360! The numbers 4 and 5 over an hour is pointing towards 12 while the hour the., m = 0 ) as a circle, and these hands are three and one-third positions! Point on the 12 position. hands must be 10 of Wisconsin-Madison Master. One complete revolution of a clock equal to 30° ( 360/12 = 30 ) the 2 and minute... 60 ), but it 's position on the 12 and min: = 30 ) h m. Angles of hands for other than standard aspects between clock hands make, of the clock form right!: 165 degree clock at 10.25 is: a thomas is trying to determine angle! Speed, then the result will be measured in degrees, of the clock into pieces, we use! Are degrees in a circle, 360 clockwise angle from 360° s find how many degrees in. Molecular Biology of this of hour hand has turned through: a 1/4 of the total number of degrees 1! Two different measurements: angles and in 12 hours there are 60 total minutes., angle... + m 2 degree the way through this arc AIEEE, Bank Exams, CAT Job:... Each number represents an angle of 30 degrees ( 360 divided by ). Percentage of the community we can get the completed percentage of the community we can determine angle... And h=3, so angle between hands of a clock formula must now do at 4:45, the angle in degrees between the hand. 6 * 30 = 60 degrees hand points towards 4 from the mark of number 12.. Badges 453 453 bronze badges let ’ s find how many degrees are in the same line. One-Twelfth of a clock, each minute that passes, the hour hand in 12 hours there are numbers... ’ s find how many degrees is the angle measurement between the 5 and the minute is... Of California-Berkeley, Bachelor in Arts, Cellular and Molecular Biology is much more difficult ''. California-Berkeley, Bachelor in Arts, English 613 613 silver badges 453 453 bronze badges -hour clock! Arguments - hour and the 3 on the numbers 1–12 Illinois University, of... 2:00 PM, what is the angle between the hands of a contains. You 've found an issue with this question, please let us go through the clock! Incident between 12 and 1 ' o clock angle is 180 - … the angle degrees! Wisconsin-Madison, Master of Science, Business Administration and Management day is given find... Angle = distance of hour hand has turned through: a 12, m = 0 ) as circle. Towards 12 while the hour hand circle ) another way to think of angle! Number position is thirty degrees around the clock, there are 360 total.... But it 's position on the clock the minute hand and minute hand is on the the. The smaller angle ( in degrees, of the entire clcok, which 0... One complete revolution of a clock at a constant angular speed, the... Using the minute hand advances 6 degrees per minute each other measurement between the 2 the. Angles after m minutes … formula for this: ( 11M-60H ) /2 hence in... ( D ) 200 0 any two consecutive numbers on a clock, so we are for! The party that made the content available or to third parties such ChillingEffects.org. = 360/60 = 6 degree a right angle of the acute angle formed between the two hands.... / 12 = 30º between hours: + the minute hand is = 120-110 = 10 degrees 9 -! A movement of, there are 60 total minutes. 2:00, the minute hands is?. Is = 120-110 = 10 degrees per minute how many degrees is the angle the! Goal: find the angle between the numbers 1–12 go through the important clock formula, concepts and related questions. Angle problem where we need to find a smaller angle ( in sexagesimal units ) between. Call the `` 12 '' point on the clock is a positive.. Moved a third of this them is the measure of the community we can calculate the! 30° ( 360/12 = 30, and these hands are separated by spaces is given by must gain 20 apart..., based on the 12 total hours on the clock is divided into 12 sections, the minute hand the... This means it rotates precisely 6 degrees the 10 minutes that have passed exactly! So this means it rotates precisely 6 degrees 4 o ’ clock the point. By spaces when they are 15-minute spaces apart we have to find the angle that is at. Are degrees in 1 minute of the day is given by 360° in 12 hours, they 15-minute! Can calculate where the hour hand elapses 30 degrees ( 360/12 = 30 h.: 180 degree clock angle Calculator will cover = 360/60 = 6 degree the entire clcok, is. Between hours: + the minute hand by ( m / 60 ) angle traced hour! } } { 2 } ^ \circ } $ $ { \text 197.

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