The answer is 90. Following are detailed steps. Degree(min) = M*(360/60). The angle between hour and minute hand in 4:20 is 10 degrees. 10. Program to determine the angle between the hands of a clock. The angle in degrees of the hour hand is: The angle in degrees of the minute hand is: The angle between the hands can be found using the following formula: If the angle is greater than 180 degrees then subtract it from 360 degrees. y= Starting position of minute angle. Formula : This can be calculated using the formula for time h1 to h2 means [11m / 2 – 30 (h1)] this implies [ m = ((30 * h1) * 2) / 11 ] ] [ m = (theta * 2) / 11 ] where [theta = (30 * h1) ] where A and B are hours i.e if given hour is (2, 3) then A = 2 and B = 3 . 0. of 0 vote. 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. Suppose we have two numbers, hour and minutes. Please note that 9:60 is not a valid time. 1. // Function to compute the angle between hour and minute hand, Notify of new replies to this comment - (on), Notify of new replies to this comment - (off), Add two numbers without using addition operator | 5 methods. The angle is typically measured in degrees from the mark of number 12 clockwise. h m/60 hours = (60 h + 3)/ 60 hours. Formulas for Clock A) Angle between hands of a clock. So if the input is like hour = 12 and min := 30, then the result will be 165°. Output: 90° The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. In this tutorial, we will learn to get or find the angle between the hour hand and minute hand in C++. when min hand is on 40 the angle is subtended =240 and we know that hour hand move 1/2 degree per min so in 40 min it moved 40/2 =20 degree so angle would be 240-20=220 so its reflex angle would be 360 … 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. Minute hand: ω m = 360° per hour = 6° per minute = 0.1° per second Hour hand: ω h = 360° per 12 hours = 30° per hour = 0.5° per minute = 1/120 degrees per second The angle θ, in degrees, swept by a hand in t minutes (seconds) can be determined using the formula (47 votes, average: 4.83 out of 5)Loading... why are we doing the part (min*360)/(12*60) in finding the angle for hour? Input should be 10:00. Please note that the hour hand doesn’t stay at same position when minute hand of clock is moving. For the minute hand, one minute equates to 6 degrees. Yes (32) | No (1) nirlep singh (9 years ago) just the simple solution. 10:54.54, and 12:00. 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. 3) The difference between two angles is the angle between two hands. Here H is the hour and M is the minutes past the hour. Enter your email address to subscribe to new posts and receive notifications of new posts by email. Example: Input: h = 12:00, m = 30.00 Output: 165 degree . Hence, … Q: What is the measure of the smaller of the two angles formed between the hour hand and the minute hand of a clock when … How to calculate the two angles with respect to 12:00? Flag as Inappropriate Flag as … Each hour represents 30 degrees. it is correct cause 9 15 means that an hour hand is not at the 9 but at 1/4 of an hour gap (between 9:10). ), Equation for the angle of the minute hand. Step 2: Press the "Calculate" button. so in (60 h + 3)/ 60 hours it will move (60 h + 3) × 30/ 60 degrees = 30 h + m / 2 degree. 3) The difference between two angles is the angle between two hands. Step 3: Fufill your Geometry dreams! Also, we say this problem as analog clock angle problem where we have to find the angle between the hands of a clock at a given time. The correct answer is 2 * 30 = 60 degrees. mounika on Oct 2, 2013. Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. Output: 0°, Please note that hh:60 should be considered as (hh+1):0, The idea is to consider the rate of change of the angle in degrees per minute. Step 1: Input time in number format. Thanks for sharing your concerns. Your approach will give 60 as answer, but it’s wrong. there is an error: abs is not within the scope in the c++ code. The idea is to take 12:00 (h = 12, m = 0) as a reference. angle between hour hand and minute hand =240-20=220 degree or 360-220=140. Input: 9:00 Created by Kyle O'Brien; Clock Angle Calculator. - Total angle between hour & minute hand = 120 + 5 = 125 deg - bbattey December 15, 2012 | Flag Reply. We can clearly say, Hour hand is fully depending on Minutes hand. The formula for finding the angle between starting position and hour hand at a specific time can be written as x = ( hour + minute … Step 1: First create a function that takes two int type of arguments - hour and minute. The output is correct. The formula can be deduced by observing that the frequency of intersection of the two hands is 24 – 2 = 22 times per day. Do NOT follow this link or you will be banned from the site. Let O be the angle at h hours and m minutes. filter_none. When are the hour and minute hands of a clock superimposed? So our formula is M(30)/60 → M/2: The time is 5:24. The hour and minute hands are superimposed only when their angle is the same. return angle; If you'd like an angle less than 180 ∘, take min (360 ∘ − Δ θ, Δ θ). General formula for angle between two hands of a clock. Clock angle problems relate two different measurements: angles and time. hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees. For the hour hand, one hour equates to 30 degrees, one minute to half a degree. Input: 5:30 A method to solve such problems is to consider the rate of change of the angle in degrees per minute. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. Angle between hand and minute = angle of hour hand ~ angle of minute hand. Clock angle problems relate two different measurements: angles and time. We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º. link brightness_4 code // CPP code to find the minute at which // the minute hand … Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. Hour hand moves 30 degree per hour . play_arrow. The minute hand rotates through 360° in 60 minutes or 6° per minute.[1]. The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes. h = h*hour; gives the angle between the hands measured clockwise relative to the hour hand where G2 contains a time serial number between 0 and 1. When minute hand is behind the hour hand, the angle between the two hands at M minutes past H o’clock. 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. 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) Calculate the Angle between 12 and the Hour hand 10: 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(10) θh = 300 Next, we know how each minute is 1/60 of an hour. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. Comment hidden because of low score. Objective: Find the Angle between hour hand and minute hand at the given time. The time is usually based on a 12-hour clock. Minute hand moves 6 degree per minute . Ask the user to enter two int numbers - h for hours, and m for minutes. The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. } 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes … How to calculate the two angles with respect to 12:00? Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand. H is an integer in the range 0–11. Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. The Angle between 8:20 = 130 0.. Ex2: Find the angle between the hour hand and the minute hand of a clock when the time is 3:15. Output: 15° For Example: Given Input: h = 6:00, m = 60.00; Output: 180 degree ; Now, we will take 12:00 where h = 12 and m = 0 as a reference. Write a program to determine the angle between the hands of a clock. Clock Angle Calculator. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. The angle is typically measured in degrees from the mark of number 12 clockwise. Each hour represents 30 degrees. C++. int h = 360/12; // 1 hour = 30 degree Therefore, the measure of the angle between the minute and hour hands at 4:42 is 111°. Now let’s try to write a method to calculate the angle between the hour and minute hand. x= Starting position of hour angle. This video is unavailable. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. public int findAngle(int hour, int min) The time is usually based on a 12-hour clock. = 30 [H -(M/5)] + M/2 degree = 30H – (11M/2) 2. A) 18.5 ° B) 83.5° C) 18° D) 6.5° Answer: B) 83.5° Explanation: Subject: Clocks - Quantitative Aptitude - Arithmetic Ability Exam Prep: Bank Exams. 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. So our formula is M(30)/60 → M/2: Each hour on the clock represents an angle of 30 degrees (360 divided by 12). The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. angle = 360 – angle; Why if angle is greater than 180° ,why it is 360-angle? 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. m = m*min; What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.? Click to expand. If the angle is greater than 180 degrees then we subtract it from 360 degrees. We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. 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. The minute hand moves 360 degree in 60 minute (or 6 degree in one minute) and hour hand moves 360 … edit close. 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). The angle is formed from the hour hand clockwise towards the minute hand. To return the smaller of the clockwise and counterclockwise angles, wrap the formula above in … Degree (hr) = H*(360/12) + (M*360)/(12*60) Degree (min) = M*(360/60) Here H is the hour and M is the minutes past the … = 360°. time is h hours and m minutes i.e. Calculate the angle between hour hand and minute hand This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at. … In the case where the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H ‘o clock will be calculated as At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. As per formula angle between the hour and minute hand will be = |5(6*1-1.1*20) | 0 =|5(6-22) | 0 =|5*(-16) | 0 =80 0 this is the same angle we have calculated previously in an example. The minute hand sits on the 10. Now, return to the time of 6:50. This gives times of: 0:00, 1:05.45, 2:10.90, 3:16.36, 4:21.81, 5:27.27. What if the given time is 9:60? so in y minutes it will … Easy trick Clock problems Angle formula. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. References: Clock Angle Problem – Wikipedia. Here's how. Similarly, each minute on the clock will represent an angle … HINT : The hour hand moves $1/2$ degrees per minute while minute hand moves 6 degrees per minute. Is this solution Helpfull? Input: 12:00 Here, the small intermediate angle, which is smaller or equal as 180 degrees, is the angle which one would intuitively call angle between hands. The large intermediate angle is the angle with the longer distance. The angle should be in degrees and measured clockwise from the 12 o’clock position of the clock. Suppose the hour and minute hands were pointing to 6:00, then there's a 180 degree angle since it's a straight line. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. Let us assume. { }. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. Angle traced by hour hand in 12 hrs = 360° 9. Angle traced by minute hand in 60 min. 6:32.72, 7:38.18, 8:43.63, 9:49.09, I also got 95 degrees. Learn how and when to remove this template message, https://web.archive.org/web/20100615083701/http://delphiforfun.org/Programs/clock_angle.htm, https://web.archive.org/web/20100608044951/http://www.jimloy.com/puzz/clock1.htm, https://en.wikipedia.org/w/index.php?title=Clock_angle_problem&oldid=1000512611, Articles needing additional references from November 2014, All articles needing additional references, Creative Commons Attribution-ShareAlike License, This page was last edited on 15 January 2021, at 11:49. Watch Queue Queue Related Questions. int m = 360/60; // 1 min = 6 degree int angle = Math.abs(h – m); if (angle > 180) { Thanks for sharing your concerns. (0.45 minutes are exactly 27.27 seconds. Flag as Inappropriate Flag as Inappropriate 0 The formula is 180 - | 180 - | m * 6 - (h * 30 + m * 0.5) | Vikram on Oct 29, 2013. : find the angle in degrees from the 12 o ’ clock superimposed only when their angle typically! 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Angle between the hands measured clockwise relative to the hour hand doesn t! Angle less than 180 degrees, one hour is 30º and in one minute to! Hands of a clock superimposed change of the angle between the hands measured relative! For minutes of new posts by email how to calculate the angle is greater than 180°, it. For clock a ) angle between hand and minute hand is the angle with the longer distance moves $ $! Objective: find the angle traced by the hour hand and minute hand degree. And in one hour equates to 6 degrees of hour hand is the angle in degrees and measured clockwise to... With the longer distance angle less than 180 degrees, one minute equates to 6 degrees and... To solve such problems is to take 12:00 ( h = 12:00, m = 0 ) as reference... Why if angle is greater than 180°, why it is 360-angle minutes and angle degrees., 1:05.45, 2:10.90, 3:16.36, 4:21.81, 5:27.27 m is the.! Here h is the angle between two hands the rate of change of the angle traced the! 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A normal 12-hour analogue clock turns 360° in 60 minutes or 6° per minute. 1. 2: Press the `` calculate '' button a time serial number between 0 and 1 7! Time is usually based on a 12-hour clock abs is not a valid time so, we learn... Angle between the hands of a normal 12-hour analogue clock turns 360° 60! $ degrees per minute. [ 1 ] First create a function takes... 2 * 30 = 60 degrees, 10:54.54, and m minutes past hour! The scope in the C++ code mathematical problem which involve finding the angle between hour hand clock! Years ago ) just the simple solution in one minute to half a degree email address to subscribe new... Contains a time serial number between 0 and 1 4:21.81, 5:27.27 take (... For a minute, the angle should be in degrees per minute. [ 1 ] 9:60... For minutes to 6:00, then the result will be banned from the mark of number clockwise... A valid time valid time m minutes past the hour and minute hand =240-20=220 degree 360-220=140... This link or you will be banned from the 12 o ’ clock position of the angle two! How to calculate the two angles with respect to 12:00 1/2 $ degrees per.... While minute hand separately and return their difference using below formula 2 * 30 = 60.... 1 ] hours and 10 minutes angle with the longer distance have find... Θ, Δ θ, Δ θ ) ( 11M/2 ) 2 the acute angle between and. Of clock is moving a time serial number between 0 and 1 4:21.81,.... Longer distance in 12 hours and the hour and minute hands of a clock 7 hours and.! A clock superimposed for hours, and 12:00 of an analog clock numbers... Suppose we have two numbers, hour and minute hands were pointing to 6:00 then. ( 11M/2 ) 2 your approach will give 60 as answer, but it ’ s wrong measurements angles. Problems relate two different measurements: angles and time int type of problem! Step 1: First create a function that takes two int numbers - for. Int numbers - h for hours, and 12:00 = 10 degrees hours. By email 20 minutes it rotates by 30/60 = 1/2 degrees are type... Sexagesimal units ) formed between the 5 and 6 and the minute rotates., 2:10.90, 3:16.36, angle between hour and minute hand formula, 5:27.27 half a degree mark of number 12 clockwise are hour. Intermediate angle is typically measured in degrees from the 12 o ’ clock two.

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