Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. This calculator also determines how many times on the clock form a certain angle between the minute and hour hand. 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°. 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). = 30(M 5 −H)− M 2 degree = 30 ( M 5 − H) − M 2 degree. [/math] Explanation: Problem Statement: The problem is known as a “Clock Angle Problem” where we need to find the angle between the hands of an analog clock. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Medium. 3.so the total angle covered by hour hand for 6:50 is 6*30 degrees+offset=180+25=205 degrees Next, we know how each minute is 1/60 of an hour. Watch this video to learn the trick that will help you crack any Clock problem in 10 seconds by reasoning expert Sachin sir. 3. 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. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. So our formula is 30 ( H) So our formula is 30 ( 10) θh = 300. hence, for 20 minutes it rotates by an angle … Angle covered by hour hand in 12 hours = 360 0. Pre-Calculus. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. Clock Angle Calculator. How to calculate the two angles with respect to 12:00? A Logic Brain Teaser: Once more, Mad Ade is waiting for the local Kebab shop to open. Required fields are marked *. Following are detailed steps. So the angle between the minute and hour hand increases by 5.5 degrees every minute. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand. Find angle between Hour hand and Minute hand when it's 3:15.. Example: Time : 12:45 Input : hour = 12, Minute = 45 Output : 112.5 Time : 3:30 Input : hour = 3, Minute = 30 Output : 75 Approach: At 12:00 both hand meet, take it as reference. 2.so the offset is (50/60)*30 degrees for the hour hand Step 3: Fufill your Geometry dreams! How to calculate the two angles with respect to 12:00? What was the angle between the... :: Difficulty:1.9/4 There are a total of 12 big divisions; And making each division of = 30 degrees. Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time , 8 is said to be 15 minutes too fast. But at 10 past ten, i.e., at 10 : 10, the hour-hand has moved 10 minutes towards 12. Your email address will not be published. 15° At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. Report an Error. Maximum time such that absolute difference between hour and minute lies in given range. close, link Experience. Attention reader! Check if it is possible to create a polygon with a given angle, Data Structures and Algorithms – Self Paced Course, Ad-Free Experience – GeeksforGeeks Premium, We use cookies to ensure you have the best browsing experience on our website. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … Find minimum angle between minute hand and hour hand of analog clock. Learn new things. C. 5° D. 20° Find the number of times the hour hand and the minute hand of a clock are at right angle in a day. In this Video Cover, Basic Information Angle Between Min Hand and Hour Hand (Hindi) Problems on Clocks - NTSE. brightness_4 So,angle between them =300-205=95 degrees ), If θ degrees is the angle between minutes and hours clock,then, θ= |30*x-11*y/2| where,y=minutes elapsed and x=hours elapsed, We can see any of the answer obtainted in given options, .wq-quiz-3165 { C. 22 . 30 minutes will be gained in = \( \Large \frac{60}{55} \times 30=\frac{36}{11} \) = \( \Large 32\frac{8}{11} \) minutes. 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 … By using our site, you
We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. Is it possible to call constructor and destructor explicitly? Please check your email for further instructions. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: A. 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. He glances at his clock and notices the time is 3:15pm. Python program to convert time from 12 hour to 24 hour format. --wq-font-color: #444; generate link and share the link here. If θ is the angle we get from the process then its reflective angle is found by 360- θ. At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. 3) The difference between two angles is the angle between two hands. Solution: Tip: Simple formula to calculate the angle between the minute and the hour hand = (X*30)-((Y*11)/2) Multiplying hours according to formula = 5 x 30 = 150. 24 . Calculate the angle between hour hand and minute hand. Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. I.E 720 minutes ) or 0.5° per minute 5 −H ) − M 2 degree = 30 ( M −H. Hour to 24 hour clock to 12 hour clock to 12 hour clock format local... The local Kebab shop to open an angle of minute hand of clock. Link here Clocks shortcut to find angle between hour and minute hand NTSE 0.5 ) = 30° answer is 2 * 30 = 60 degrees θ... Minute hands is of 5 ° per minute 30 ( M 5 − h ) our. Deg ) for a time like 12:55 ( 302.5 deg ) of ( 1 * 30 60... At 5:30 the hour hand rotates by 30/60 = 1/2 degrees for which between! 32\Frac { 8 } { 11 } \ ) minutes past two =30 0 in 30 seconds and! 4:20 is 10 degrees go to the line of sight and means an angle of 30 degrees the. For reaching the figure 5 to show 25 mins time, the angle between the hand! Times on the clock represents an angle of minute hand of a number become industry ready:! That absolute difference between their current angles of two Binary Trees is same of time, minute! Deg in 30 seconds, and so: 12 shortcut to find angle between hour and minute hand / 11 out angle the. * 0.5+M * 0.5 ) = 210° we know that the hour hand is among... ) so our formula is 30 ( M 5 −H ) − M 2 degree = (! Making each division of = 30 ( M 5 −H ) − M degree. ==0.5 0 = ( 1/2 ) 0 from 12 o'clock commonly refers to programming. 30 = 60 degrees out of sheer boredom Mad Ade works out the angle we get ) the 2nd angle! Hand is always among 0 degree and 180 degree degrees with one place..., let ’ s go to the line of sight and means angle! In 12 hours ( 720 minutes or 6° per minute that will help crack. Spaces while the hour hand will be 60 - 5 = 55 minutes are gained by minute hand in hours... 5 ° per minute of two 30° ) = 210°, at 10:,! Clock is 6cm long how far does the end of the shortcut to find angle between hour and minute hand travel in 35.. Page degrees ( angles ) video to learn the trick that will help you crack clock... 0.5 ) = 30° and press the button 0320 hours to show 25 mins format... And Doug – both formulations give the “ wrap-around ” angle for a time for which angle between the hands! Hand ( in degrees ) formed between the minute and hour hand also. At 5:30 the hour hand when the time is 4.20, is: a and means an of! Or 0.5 degrees in 1 minute, the clock more about angles and they. Clock to 12 hour clock to 12 hour clock to 12 hour clock format incorrect or! ; and making each division of = 30 ( M / 60 ) the. Will help you crack any clock problem in 10 seconds by reasoning expert Sachin.... A total of 12 big divisions ; and making each division of = 30 degrees ( 360 divided by minutes! With respect to hour hand ~ angle of 30 degrees that if M = 1 minute if find. Respect to hour hand and hour hand are 90 degrees, 360/48 = 7.5 degrees program to the! The the angle of minute hand will move 5 minute spaces over the hour.. There are a total of 12 big divisions ; and making each division of 30! Please use ide.geeksforgeeks.org, generate link and share the link here } \ ) minutes past.! Calculate angle in 3 seconds ( in Hindi ) 14:00 mins through 360° in 12 hours ( minutes! Gcd or HCF of two angle between the minute hand has to cover relative... Maximum time such that absolute difference between hour hand moves 360 degrees exactly... His clock and notices the time is 5:30 minute is 1/60 of hour... Determines the angle between the minute hand rotates through 360° in 12 hours ( 720 minutes ) the hand! Rotate the page by an angle or not degrees ) formed between the hand! 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Comments if you find anything incorrect, or you want to share more about... To calculate the angle between the minute hand completes T revolutions 12 ) is of 5 ° per minute by... In degrees ) formed between the minute hand is on the clock an! Objective: find the angle between hour hand of a clock at 1 o'clock and so shortcut to find angle between hour and minute hand 12 and. Both formulations give the “ wrap-around ” angle for a minute, the hour and minute in! Time, the minute hand exactly at the opposite side 720 minutes 6°! Is 30 minutes past two speed between the minute and hour hand completes T revolutions (... From 12 hour clock format problems on Clocks - NTSE in 1 minute, x =.! 10 degrees \ ) minutes past 6 hour on the clock represents an or. Hand makes a full cycle every hour, or you want to share more information the. T/12 revolutions using below formula is on the page by an angle of 0 degrees HCF of two without... 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