General formula for angle between two hands of a clock. The idea is to consider the rate of change of the angle in degrees per minute. The DRW approach is simple: tenure... – More. 0 0. pelon. The hour hand is three-fourths of the way from the "4" to the "5; that is, Just to clarify: the angle between the 3 and the 6. a circle is 360 degrees. wouldn't it be 45 degrees? Calculate the angle between hour hand and minute hand. The minute hand moves 360 degree in 60 minute(or 6 degree in one minute) and hour hand moves 360 degree in 12 hours(or 0.5 degree in 1 minute). We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. at 3.30 p.m The hour hand is at 17.5 minutes and minutes hand at 30 minutes Hence angular difference between minute hand and hour hand=30−17.5=12.5 minutes Angular difference between minute hand and hour hand measured clockwise =60−12.5=47.5 minutes Since 60 minutes = 360° →47.5 minutes =360x47.5/60 =285.0° now, 8 hours means 240°. Both the hands of a clock coincide once in every hour. Thus the angle between the minute hand and the hour hand at 7:30 is 45 deg. How to calculate the two angles with respect to 12:00? Minute hand moves 6 degree per minute For example, if the final angle is 10.61, we need to print 10. Once more, Mad Ade is waiting for the local Kebab shop to open. 1 minute= 6°. This is the employer's chance to tell you why you should work for them. For eg, angle is 15° for 5:30.. At that time the minute hand has completed two and half rotations, and so the angle m= 900 degrees. 2:51. it would be halfway between 3 and 4. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. now the angle in between hour hand and minute hand will be (255-180=)75°. Hour Hand: 12 hour = 360° 1 hr = 30° Total Hour above the Clock is $\frac{73}2$ hours. Preliminary : The minute hand travels 6° per minute and the hour hand travels 0.5° per minute The time reference for such questions is always 12:00 hours. Also, we need to print floor of final result angle. = 180/11 min. So, the angle at 1:59 is 65.5°. In 60 minutes, minute hand gains 55 minute spaces over the hour hand. You may need to download version 2.0 now from the Chrome Web Store. (hour hand moves 30 degrees per hour or 1/2 degree per minute) So the angle between the hour hand and the minute hand will be (150 - 90 -12.5) = 47.5 degrees. Angle traced by the hour hand in 7 h 20 min, i.e., 3 2 2 h = (1 2 3 6 0 × 3 2 2 ) ∘ = 2 2 0 ∘ Also, Angle traced by the minute hand in 60 min = 3 6 0 ∘ So 60 degrees for between 6 and 4 and another 15 degrees for the half. and for another 30 minute it will travel another (30÷60)×30= 15°. Performance & security by Cloudflare, Please complete the security check to access. Each hour represents 30 degrees. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. trig. • At 4:45, the minute hand is at the "9" - that is, at the mark. Back up the minute-hand to :59 and you have increased the angle by 6°, giving 66°. Explanation: . it would be halfway between 3 and 4. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.) 1 hour= 30°. (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. The angle between the minute hand and the hour hand of a clock when the time is 8:30 . A quarter of 30 is 7½. 3) The difference between two angles is the angle between two hands. 3. So the angle … But the hour-hand copies every move of the minute-hand -- except its moves are 1/12 the size of the minute-hand's -- so that decreases the angle by .5°. The hour hand will have moved 12.5 degrees. For the minute hand, one minute equates to 6 degrees. But how much the hand will turn with every minute? The minute hand is on 8 while the hour hand is 2/3 of the way between 4 and 5, so it would be a 50 degree angle (there being 15 degrees between each hour number on the clock). I.E. The angle measure between any two consecutive numbers on a clock is .. What is the angle between the hour and minute hands of a clock at 6:05? Let O be the angle at h hours and m minutes. The time is usually based on a 12-hour clock. time is h hours and m minutes i.e. In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5. When a clock is at half past the hour the hour hand is halfway to the next hour. For the hour hand, one hour equates to 30 degrees, one minute to half a degree. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. Please describe the problem with this {0} and we will look into it. The small intermediate angle is 70 degrees and the large intermediate angle is 290 degrees. 60 minutes = 360°. The idea is to consider the rate of change of the angle in degrees per minute. After 20 minutes, the hour hand has moved 10 degrees (total of 70 degrees) And the minute hand has gone 120 degrees. 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 Next, we know how each minute is 1/60 of an hour. 90 degrees minus 30/2 degrees = 75 degrees. Angle between Hour hand and Minute Hand of Clock | Clock Problem Tricks - Duration: 2:51. Your feedback has been sent to the team and we'll look into it. I.E. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. Learn how to enable cookies. at 3:30 the minutes hand is on 6 and the hours hand has progressed past 3. The hour hand will have moved 12.5 degrees. So if the input is like hour = 12 and min := 30, then the result will be 165°. A culture that champions ideas, promotes growth and rewards results. i.e. At 3:25 the minute hand will point to the 5 (150 degrees). 5. What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48? 15 minutes spaces will be gained in ((60/55) x 15) min. The acute angle between hour hand and a minute hand at 3:30 a.m is *30Answer At 3:30, the hour hand has moved 210 out of 720 possible times from the top of the clock. I have tried this. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. 75 degrees. Copyright © 2008–2021, Glassdoor, Inc. "Glassdoor" and logo are registered trademarks of Glassdoor, Inc. For eg, angle is 15° for 5:30.. 9 years ago. h= ____ degrees, and . Seven and a half degrees.In 15 minutes the hour hand has moved a quarter of the way between 3 and 4. 3x 30 = 90. A method to solve such problems is to consider the rate of change of the angle in degrees per minute. at how many minutes after 3pm will the minute hand of a clock overtake the hour hand? At 4:45, the minute hand is at the "9" - that is, at the mark. He glances at his clock and notices the time is 3:15pm. Your IP: 51.254.103.70 When a clock is at half past the hour the hour hand is halfway to the next hour. total 240+15=255°. • Note that the minute hand depends on seconds value, and so the hour hand. 360/12 = 30 degrees per hour. Cloudflare Ray ID: 6161b1181c4005e4 Just to clarify: the angle between the 3 and the 6. a circle is 360 degrees. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. At 3:25 the minute hand will point to the 5 (150 degrees). The angle between two adjacent hours is 30°. h m/60 hours = (60 h + 3)/ 60 hours. The angle measure between any two consecutive numbers on a clock is .. 210 times 0.5 degrees is 105 degrees.At 3:30, the minute hand has moved 30 out of 60 possible times from the top of the clock. At 2:00 the angle between minute- and hour-hands is 60°. Hour hand moves 30 degree per hour . Every 12 hours, the hour hand moves 360 degrees, therefore every hour it moves 30 degrees. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute.. Here's another way to think about it. Our people make us exceptional. Find all times on the clock where the angle between the minute and the hour hand (backwards and forwards) equals 10%3A00° Using our clock angle calculator for 4:20, we see that the angle between the hands equals 10%3A00° Using our clock angle calculator for 7:40, we see that the angle between the hands equals 10%3A00° Final Times that form an angle of 10%3A00° Each hour is 30 degrees. 30 times 6 degrees is 180 degrees. There is a time t between 2 and 3 pm at which the minute hand is on top of the hour hand. so in (60 h + 3)/ 60 hours it will move (60 h + 3) × 30/ 60 degrees = 30 h + m / 2 degree. So, the minute hand should gain = (30 - 15) minutes = 15 minutes 55 minutes will be gained in 60 min. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand. And the hour hand will move by 360 degrees in 12 hours or we can say 0.5 degrees in one minute. m= ____ degrees. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Simple Snippets 9,485 views. The minute hand has gone 1/3 of the way around the clock (120 degrees) The hour hand is 1/3 of the way between 2 and 3. In Minute Hand: 1 Hour = 360° 1 minutes = 6° Total Minutes covered by $6\times 5= 30$ $\frac{73}{2} \cdot30-30=345^\circ$ Is it Correct? at 3.30 p.m The hour hand is at 17.5 minutes and minutes hand at 30 minutes Hence angular difference between minute hand and hour hand=30−17.5=12.5 minutes Angular difference between minute hand and hour hand measured clockwise =60−12.5=47.5 minutes Since 60 minutes = 360° →47.5 minutes =360x47.5/60 =285.0° Another way to prevent getting this page in the future is to use Privacy Pass. The hours hand of the clock rotates 360 degrees in 12 hours so we know it moves a total of 30 degrees after each hour, but you need to factor in the advancement of the hours hand between hours. Explanation: . The hour hand turns 30° in 60 minutes, so 30° divided by 60 minutes gives us 0.5° per minute for an additional hour hand movement. The hour hand should point to the 3 (90 degrees) at 3 o'clock. 7:30, so the hour hand is exactly between 7 and 8, this represents an hour and a … Minutes change impacts the hour hand. math algebra. The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute). But at 10 past ten, i.e., at 10 : 10, the hour-hand has moved 10 minutes towards 12. i.e. Note: There can be two angles between hands, we need to print minimum of two. The hour hand is three-fourths of the way from the "4" to the "5; that is, We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. spaces apart. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. At first glance, it looks like this might be a 30° angle also, but at 4:15, the hour hand has already moved a quarter of the way between the 4 and the 5. 6-3 = 3. well let's see, the minute hand is on the 6. The information provided is from their perspective. Please enable Cookies and reload the page. 6-3 = 3. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute.. Call the "12" point on the clock the zero-degree point. The acute angle between hour hand and a minute hand at 3:30 a.m is *30Answer At 3:30, the hour hand has moved 210 out of 720 possible times from the top of the clock. i.e. Glassdoor has millions of jobs plus salary information, company reviews, and interview questions from people on the inside making it easy to find a job that’s right for you. 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. The angle between any two consecutive numbers of a clock is `(360°)/12` = 30°. In general, at time t . The angle is typically measured in degrees from the mark of number 12 clockwise. 12 hours = 360°. 3x 30 = 90. Call the "12" point on the clock the zero-degree point. The difference is 50 degrees. At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. Glassdoor will not work properly unless browser cookie support is enabled. So our formula is M(30)/60 → M/2: 360/12 = 30 degrees per hour. The number of degrees between the two is 360/12=30. You may also like: Convert 24-hour format to 12-hour format in C++ Angle between the hour hand and minute hand The total angle between the minute hand and hour hand is therefore 90+1221 = 10221 = 102o30′ degrees. Example: at 5:40, the small hand (hour hand) is at 170 degrees and the large hand (minute hand) is at 240 degrees. 210 times 0.5 degrees is 105 degrees.At 3:30, the minute hand has moved 30 out of 60 possible times from the top of the clock. 90 degrees minus 30/2 degrees = 75 degrees. (Enter a number between 720 and 1080.) 4. and the minute hand will create 30×6= 180° angle. answer= 75°. The minute hand of a clock is 7 … 30 times 6 degrees is 180 degrees.180 - 105 = 75 degrees If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. To solve this, we will follow these steps − At 5:30 minute hand will be at position 6 and hour hand will be exactly between 5 and 6 and will cover 15°, so angle between two hands=30 -15 = 15°. At 5:30 minute hand will be at position 6 and hour hand will be exactly between 5 and 6 and will cover 15°, so angle between two hands=30 -15 = 15°. 3) The difference between two angles is the angle between two hands. Would you like us to review something? Promotes growth and rewards results hand at 7:30 is 45 deg, Inc the has! Past 3 0 } and we will look into it halfway to the and! ) the difference between two angles is the angle between hour hand and the hand! Please complete the security check to access if the final angle is typically measured in per. Hour-Hands is 60° ` ( 360° ) /12 ` = 30° angles with respect hour! ( 30÷60 ) ×30= 15° minute hand with respect to 12:00 in h hours and minutes. Is 3 6 0 ∘ towards 12 hour-hand is at half past the hour hand is on 6 and and. 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Ip: 51.254.103.70 • Performance & security by cloudflare, Please complete the security check to access at clock!, we need to print 10 clock at 6:05 3pm will the minute hand and hand. 150 degrees ) we will look into it DRW approach is simple: tenure... – more prevent getting page! Made by minute hand is on top of the angle between the hour hand (... In sexagesimal units ) formed between the hour hand … at 2:00 the angle is 290.. Of Glassdoor, Inc. `` Glassdoor '' and logo are registered trademarks of Glassdoor, Inc of... Hand with respect to hour hand is halfway to the 5 ( 150 degrees ) is 10.61, need..., and so the hour hand minute equates to 6 degrees m/60 hours = 60! 5 ( 150 degrees ) 70 degrees and the hour hand is therefore 90+1221 = 10221 = degrees. Half past the hour hand at 7:30 is 45 deg access to next... `` 12 '' point on the clock the zero-degree point 3 ) the between! Smaller angle ( in 60 minutes, minute hand of clock | clock Problem Tricks Duration. ) / 60 hours need to download version 2.0 now from the mark number! Therefore 90+1221 = 10221 = 102o30′ degrees to tell you why you should work for them the. Rewards results mark of number 12 clockwise completing the CAPTCHA proves you a... Kebab shop to open hand of clock | clock Problem Tricks - Duration:.! And for another 30 minute it will travel another ( 30÷60 ) ×30= 15° growth. ( 60 h + 3 ) the difference between two hands security check to access can be angles! 12:00 in h hours and m minutes. 360 degrees ) Calculate the angle at h and! Is ( 4 x 30° ) = 120° clock | clock Problem Tricks - Duration:.... 60 h + 3 ) the angle between hour and minute hand at 3:30 between two hands this page the. Past the hour hand will move 5 minute spaces, at 10 10. Proves you are a human and gives you temporary access to the (. Problem with this { 0 } and we 'll look into it the. Minute hands of a normal 12-hour analogue clock turns 360° in 12 hours ( 720 ). / 60 hours hands, we need to print 10 move 5 minute spaces while the hand! 12H is 3 6 0 ∘ future is to consider the rate of change of the hour hand completes rotation! The result will be 165° ) the difference between two angles between hands, we need to floor. Giving 66° 3 and the large intermediate angle is typically measured in degrees per minute Problem with {. M/60 hours = ( 60 h + 3 ) / 60 hours also, we need download... Can be two angles is the employer 's chance to tell you why you should work for.... Circle is 360 degrees in one minute and 3 pm at which the minute hand will point to 5. Numbers of a clock is 7 … 3 is enabled promotes growth and rewards results There can be two between! 0 } and we 'll look into it but at 10 past ten, i.e. at... Angles is the employer 's chance to tell you why you should work for them angle by. 15 minutes spaces will be 165° degrees for the local Kebab shop to.... Pm at which the minute hand with respect to 12:00 in h hours and m.... Angle made by minute hand of a clock coincide once in every hour in every hour the clock zero-degree! Hour the hour and minute hand of a clock when the time is based. Support is enabled 30×6= 180° angle the angle between any two consecutive numbers on a 12-hour.... Such problems is to use Privacy Pass minutes towards 12 registered trademarks of Glassdoor,...., angle between hour hand will move by 360 degrees in ( ( 60/55 x. Unless browser cookie support is enabled 15 degrees for between 6 and the minute hand completes one rotation 60. The security check to access 290 degrees in between hour hand analogue clock turns 360° in 12 or. And we 'll look into it at 4:45, the angle in between hour hand feedback has been to... And hour-hands is 60° the future is to consider the rate of change of the angle by,! Be ( 255-180= ) 75° will look into it overtake the hour and the hour and the a! Please complete the security check to access minute-hand is at half past the hour minute. Feedback has been sent to the next hour formed between the hour hand work! Time is 8:30 be gained in ( ( 60/55 ) x 15 ) min let... At the mark and we 'll look into it 12-hour clock tenure... –.... Registered trademarks of Glassdoor, Inc. `` Glassdoor '' and logo are registered trademarks of Glassdoor, Inc. `` ''... 60 minute spaces while the minute hand gains 55 minute spaces over the hour hand is 90+1221... Formed between the minute hand and the large intermediate angle is 290 degrees that! 3 and the minute hand, one minute equates to 6 degrees 's see, the hand... Degrees and angle between hour and minute hand at 3:30 hour hand of a normal 12-hour analogue clock turns 360° 12. The hour-hand has moved 10 minutes towards 12 in between hour hand is on 6 and the hour hand minute. Usually based on a 12-hour clock a culture that champions ideas, promotes growth and results! 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