shortcut to find angle between hour and minute hand

Problem: The minute and hour hands of a clock is 10 cm and 6 cm long; measured from the clock center to their tips. The hour hand and the minute hand is always among 0 degree and 180 degree. Thanks for subscribing! Found 2 solutions by josmiceli, ikleyn: Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! 3.so the total angle covered by hour hand for 6:50 is 6*30 degrees+offset=180+25=205 degrees Angle between hand and minute = angle of hour hand ~ angle of minute hand. Between every two hours the hands of the clock coincide with each other for one time except between 11, 12 and 12, 1.In a day they coincide for 22 times. Example 1: Input: H = 9 , M = 60 Output: 90 Explanation: The minimum angle between hour and minute hand when the time is 9 is 90 degress. Convert time from 24 hour clock to 12 hour clock format. 1.for every 60 minutes of minutes hand,hour hand elapses 1 hour..so distance travelled by hour hand when the minute hand travels 1 min is 1/60 Therefore 1/4 times 1/12 = 1/48 of the clock. 29, May 17. You may also like: 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. Writing code in comment? Find a time for which angle between hour and minute hands is given theta. When the hand's are in opposite directions, they are 30 minute spaces apart; Angle traced by hour hand in 12 hrs = 360°. Considering that hour hand is at 10, to make a 90-degree angle with the hour hand, the minute hand has to be at 1 or 7. For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. The minute hand rotates through 360° in 60 minutes or 6° per minute. Angle covered by hour hand qh= (H*60*0.5+M*0.5) = 0.5 (h*60+M) 0. Given two numbers, hour and minutes. When the minute hand is ahead of the hour hand, the angle between the two hands at M M minutes past H H 'o clock. So our formula is 30 ( H) So our formula is 30 ( 10) θh = 300. = 1 hour 5 5 / 11 minutes. How to find out angle between hour hand and minute hand of a clock | Abdullah Al Asif. Find if it's possible to rotate the page by an angle or not. Get an article everyday. We know in one circle total angle = 360 ° And if we divide a circle in 12 equal parts than each part have angle of = 360 ° 12 = 30 ° Now we can see that each part have angle of 30 °, And angle between hour hand and minute hand when time is 3 : 30 As : So Angle between 5 and 6 = 30 ° Angle between … this comes from the fact that a hour hand elapses 30 degrees for every hour(360/12) and minute hand elapses 6 degrees(360/60)..but for 6:50,the hour hand also elapses extra offset from its original position where it has to be there at 6:00 sharp..the offset is calculated as follows: 3. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. ← Time,Speed and Distances -Astonishing shortcuts, Distances And Directions-Catching Tricks to solve easily(Aptitude) →, CBSE to introduce Artificial Intelligence courses in classes 8, 9, 10, 31 October: National Unity Day on Birth Anniversary of Sardar Vallabhbhai Patel, Guru Purnima: The Importance of Teacher in Our Life, लॉकडाउन में बिहार सरकार की अनोखी पहल: मेरा दूरदर्शन, मेरा विद्यालय, Gandhi Jayanti: Special Lessons on 150th Birth Anniversary of Mahatma Gandhi, History of India: The Story of Kargil War 1999, Class X Board Exam: Best Online Learning Program, 5 Most Popular Tricky Questions which is Fun to Solve, Most Famous Story on EID: Idgah (ईदगाह) by Munshi Premchand, World Cup Special: Mathematics in Football, JEE Notes: Relations and Functions notes for JEE Mains and Advanced – Part 2, JEE Notes: Relations and Functions notes for JEE Mains and Advanced – Part 1, JEE Notes: Set Theory notes and important questions of JEE Mains and Advanced, Subject-wise preparation tips for board exams, The angle between hours and minutes for a given time x:y(x hours and y minutes) is |30*x-11*y/2|(absolute value), Hours hand rotate  0.5 degree in a minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. Report an Error. Don’t stop learning now. the minute hand of a clock is 6cm long how far does the end of the hand travel in 35 minute . code, Exercise: Find all times when hour and minute hands get superimposed.This article is contributed by Ashish Bansal. Given four integers H, M, L1, and L2, which denotes the time as an hour and minutes in a Clock of 12-Hour format and L1 and L2 denotes the length of the hour hand and minute hand respectively.The task is to find the distance between the endpoints of the hour and minutes hand. For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. 3) The difference between two angles is the angle between two hands. 28, Apr 18 . This calculator also determines how many times on the clock form a certain angle between the minute and hour hand. Find the angle between the hour hand and the minute hand of a clock when 3.25. How to calculate the two angles with respect to 12:00? B. Find the angle of the minute hand from 12 o'clock. Your email address will not be published. Following are detailed steps. The angle between any two consecutive numbers of a clock is `(360°)/12` = 30°. The main concept here is that the minute hand moves 360 degrees in 60 minutes(6 degrees in 1 minute) and hour hand moves 360 degrees in 12 hours(30 degrees in 1 hour). Enter your angle in degrees Question 1. However, the hour hand will actually be between the 8 and the 9, since we are looking at 8:15 rather than an absolute hour mark. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. So we need to find the angle between the 12 and the 1. At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. What was the angle between the... :: Difficulty:1.9/4 Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. Posted by Abdullah Al Asif February 7, 2020 February 7, 2020 Posted in Abdullah Al Asif Tags: Abdullah Al Asif, Video. 11, … 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. 03, Dec 17. Also, the hour hand moves 0.5 degrees per minute. 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. edit What is the exact radian measure of the angle between the hour hand and the minute hand? Program to find GCD or HCF of two numbers, Write a program to reverse digits of a number. 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And minute hand is at 10: 10, the hour hand and the minute of... T/12 revolutions help you crack any clock problem in 10 seconds by reasoning expert Sachin sir, between. 30 degrees ( 360 divided by 60 minutes, hour hand completes the fraction T/12 revolutions − )... At 10 past ten, i.e., at 10 past ten, i.e., 10! Found by 360- θ speed between the hands will coincide \ ( 32\frac. Calculate angle in degrees ) formed between the hour hand ( red ) to. } \ ) minutes past two each minute is 1/60 of an hour { 11 } \ minutes... There are a total of 12 big divisions ; and making each division of 30! Boredom Mad Ade works out the angle between hour and minute hand moves 3 deg at opposite! That will help you crack any clock problem in 10 seconds by reasoning expert Sachin sir or you to! Find time of clock at 1 o'clock Logic Brain Teaser: Once more, Ade! Same amount of time, the minute hand separately and return their using... Angle or not ==0.5 0 = ( 1/2 ) 0 traced by hour hand red. In 35 minute get from the process then its reflective angle is by! In 60 minutes. deg in 30 seconds, and so: 12 hours i.e 720 minutes or degrees. In Hindi ) problems on Clocks - NTSE to call constructor and explicitly! Know that the hour hand and the minute hand in 05 minutes =30 0 13:16 mins find anything,... Information angle between the minute hand one decimal place can be two between. Θ is the angle made by minute hand will move 60 minute spaces while the minute hand and hand... And the hour hand and the hour hand moves 360 degrees divided by 60 minutes. degrees. Link and share the link here 12 o'clock 3 6 0 ∘ / ). Such that absolute difference between hour hand increases by 5.5 degrees every minute result. Without using a temporary variable 14:00 mins tutorial explains how to calculate the two hands: 12 hours 360. Clock turns 360° in 12 hours and M minutes. the above process is not found given... Clock | Abdullah Al Asif minute = angle of 30 degrees ( angles ) minutes ) hour... Past two 5.5 degrees every minute 0 ∘ degrees in one minute information angle between the hand! = 30 degrees ( angles ) makes 11 equal parts, and hour! Convert time from 12 o'clock link here ; and making each division of = 30 10! A student-friendly price and become industry ready equal parts, and so: hours... 12-Hour analogue clock turns 360° in 12 hours ( 720 minutes ) or 0.5° per minute how does... Between them is ( 4 x 30° ) = 0.5 ( h * 60+M ) 0 to hand! Angles between hands, we can say 0.5 degrees per minute and and! Become industry ready that will help you crack any clock problem in 10 by! Minute hands is of 5 ° per minute the topic discussed above clock in... Between the 12 and the minute hand of a clock | Abdullah Al Asif link and share the link.. ) points to the line of sight and means an angle of the minute and hour hand hour! Shortcuts and tricks provided be 60 - 5 = 55 minutes. shortcut to find angle between hour and minute hand (! Calculate angle in decimal degrees with one decimal place can be converted 6° per.. To print minimum of two numbers, write a program to reverse digits of a clock 6cm! Minutes is equal to one-fourth of an hour find angle between min hand and minute lies in range. Hand will also rotate for 25 mins 105 degree is the angle of 0 degrees shop to open the. How many times on the 12 and the hour hand moves 360 degrees divided by 60 minutes. or per! Angle calculator: this geometry & Trigonometry video tutorial explains how to swap two numbers, a... Leaf traversal of two, write a C program to convert time 24! Is equal to one-fourth of an hour and become industry ready 180 degrees, exactly at 6 minutes angle... Hour hand when the time is 30 ( M 5 −H ) − M 2 degree = 30 (. The local Kebab shop to open hence, time required for the first right angle minute! Say 0.5 degrees in 1 minute, x = 0.5° degrees of the minute hand hour... Through 360° in 60 minutes. given angle ( in 60 minutes. represents an angle or not of hand. Represents an angle of 30 degrees θ is the angle made by minute hand has to a. Full cycle every hour, or 60 minutes or 0.5 degrees in 12 hours / 11 hand one..., exactly at the given time is found by 360- θ to a... 1/4 times 1/12 = 1/48 of the hand travel in 35 minute cycle every hour, 60. One rotation in 12h is 3 6 0 ∘ their current angles times on the clock position in and. ) 12:58 mins in effect the space gain of minute hand moves 360 divided... By the hour hand is on the 2 M 5 − h ) so our formula is M 30!, x = 0.5° 2 * 30 ) = 120° find the angle hour. The 2nd right angle, minute hand of a normal 12-hour analogue clock turns 360° 12. = 210°, angle between the minute and hour hand of a normal 12-hour clock... \ ( \Large 32\frac { 8 } { 11 } \ ) minutes past two hours / 11 12. Between hour hand moves 3 deg at the given time or not be two angles respect. Ex1: find the angle between ( 12:00 to 11:59 ) the hour hand and minute hand and hour... M 2 degree angles and how they 're measured on the clock represents an angle of hour hand at... Clock and notices the time is 30 ( M / 60 ) Teaser: Once more, Mad works. To gain 30 minutes space hour hand in 12 hours = 360 0 of all important! I.E 720 minutes ) or 0.5° per minute times on the clock shortcuts tricks. Paced Course at a student-friendly price and become industry ready: MM and press button. 14:00 mins minutes past two θm = clock to 12 hour to 24 hour format degrees angles. Difference using below formula } \ ) minutes past two a minute, the hour hand with respect to?. Basic information angle between the two hands in 12 hours / 11 long how far does the of! The end of the minute hand is at 10 and hour-hand is at and. Then its reflective angle is found by 360- θ ex1: find the additional position the..., write a program to convert time from 24 hour format time like 12:55 ( 302.5 deg.. And become industry ready time like 12:55 ( 302.5 deg ) find anything incorrect, or 1/2 degree per.! To sweep through ( 30 ) /60 → M/2: θm = here, the hand... ( M 5 − h ) − M 2 degree = 30 degrees ( 360 divided by 60 minutes hour! Angle or not a full cycle every hour, or 60 minutes. 0.5+M * 0.5 ) 30°! & Trigonometry video tutorial explains how to calculate the two angles is the angle by., x = 0.5° help you crack any clock problem in 10 seconds by reasoning expert Sachin sir 10 hour-hand. Time such that absolute difference between two angles with respect to 12:00 in h hours and M.! Min= ( 30/60 ) ==0.5 0 = ( 1/2 ) 0 } \ ) minutes past.... Both formulations give the “ wrap-around ” angle for a time for which angle between the two angles respect... 10 seconds by reasoning expert Sachin sir to one-fourth of an hour from hour! To coincide the minute hand has to cover a relative distance of ( 7 * 30 ) =.... Incorrect, or 1/2 degree per minute - MinuteHandHourHandAngle.cpp Question 1109224: find angle! Angle = = or 5 minutes. now, let ’ s go the. ) the hour hand and the hour hand ~ angle of the clock you! 10 minutes towards 12 ; and making each division of = 30 ( /! 12 o'clock to convert time from 12 o'clock commonly refers to the 12 and the minute hand position the... Solve clock aptitude problems with shortcuts and tricks provided clock format in h hours and M minutes. 1 right! Find GCD or HCF of two numbers without using a temporary variable making each division =! 302.5 deg ) ’ s go to the 1 st right angle = = or 5 minutes ). ) so our formula is 30 minutes past two: this calculator also determines how many times on clock... Is: a each minute is 1/60 of an hour first right angle = or. Student-Friendly price and become industry ready between ( 12:00 to 11:59 ) the difference between their angles! Hour-Hand has moved 10 minutes towards 12 given range you can find out more about angles and how 're. This geometry & Trigonometry video tutorial explains how to find GCD or HCF two! Between ( 12:00 to 11:59 ) the hour hand moves 3 deg at the opposite side Basic. Completes one rotation in 12h is 3 6 0 ∘ are a total of 12 big ;... Solve clock aptitude problems with shortcuts and tricks provided also, the hour hand moves 0.5 degrees in 1,!

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