angle between hour and minute hand formula

This gives times of: 0:00, 1:05.45, 2:10.90, 3:16.36, 4:21.81, 5:27.27. (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? Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. Let O be the angle at h hours and m minutes. = 30 [H -(M/5)] + M/2 degree = 30H – (11M/2) 2. The time is 5:24. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. 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. Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand. time is h hours and m minutes i.e. Flag as Inappropriate Flag as Inappropriate 0 The formula is 180 - | 180 - | m * 6 - (h * 30 + m * 0.5) | Vikram on Oct 29, 2013. } Thanks for sharing your concerns. Is this solution Helpfull? The output is correct. so in y minutes it will … Yes (32) | No (1) nirlep singh (9 years ago) just the simple solution. 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 … The hour and minute hands are superimposed only when their angle is the same. Please note that 9:60 is not a valid time. Program to determine the angle between the hands of a clock. 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. 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) h = h*hour; The formula can be deduced by observing that the frequency of intersection of the two hands is 24 – 2 = 22 times per day. 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. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.   So if the input is like hour = 12 and min := 30, then the result will be 165°. I also got 95 degrees. Formulas for Clock A) Angle between hands of a clock. Input should be 10:00. Click to expand. Each hour represents 30 degrees. 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. If you'd like an angle less than 180 ∘, take min (360 ∘ − Δ θ, Δ θ). 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 minute hand in 60 min. Ask the user to enter two int numbers - h for hours, and m for minutes. Step 3: Fufill your Geometry dreams! there is an error: abs is not within the scope in the c++ code. What if the given time is 9:60? Angle traced by hour hand in 12 hrs = 360° 9. We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º. Output: 90° Hence, … edit close. Step 2: Press the "Calculate" button. The minute hand sits on the 10. 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. Output: 15° 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. Angle between hand and minute = angle of hour hand ~ angle of minute hand. If the angle is greater than 180 degrees then we subtract it from 360 degrees. This video is unavailable. Example: Input: h = 12:00, m = 30.00 Output: 165 degree . angle = 360 – angle; So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. 3) The difference between two angles is the angle between two hands. 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 … 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 . mounika on Oct 2, 2013. The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. Step 1: Input time in number format. Input:  5:30 Why if angle is greater than 180° ,why it is 360-angle? Clock angle problems relate two different measurements: angles and time. 1. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes.   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 hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. gives the angle between the hands measured clockwise relative to the hour hand where G2 contains a time serial number between 0 and 1.   The large intermediate angle is the angle with the longer distance. 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 We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. 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. 3) The difference between two angles is the angle between two hands. Watch Queue Queue What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.? hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. Step 1: First create a function that takes two int type of arguments - hour and minute. So our formula is M(30)/60 → M/2: For the hour hand, one hour equates to 30 degrees, one minute to half a degree. At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. 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. 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. 6:32.72, 7:38.18, 8:43.63, 9:49.09, 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). Write a program to determine the angle between the hands of a clock. 10. Input:  12:00 The formula for finding the angle between starting position and hour hand at a specific time can be written as x = ( hour + minute … Enter your email address to subscribe to new posts and receive notifications of new posts by email. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. y= Starting position of minute angle. Input:  9:00 int h = 360/12; // 1 hour = 30 degree 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes … The minute hand moves 360 degree in 60 minute (or 6 degree in one minute) and hour hand moves 360 … HINT : The hour hand moves $1/2$ degrees per minute while minute hand moves 6 degrees per minute. 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. Here's how. Your approach will give 60 as answer, but it’s wrong. 10:54.54, and 12:00. Do NOT follow this link or you will be banned from the site. H is an integer in the range 0–11. Clock angle problems relate two different measurements: angles and time. The minute hand rotates through 360° in 60 minutes or 6° per minute.[1]. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). (0.45 minutes are exactly 27.27 seconds. return angle; link brightness_4 code // CPP code to find the minute at which // the minute hand … The angle between hour and minute hand in 4:20 is 10 degrees. The time is usually based on a 12-hour clock. Related Questions. The idea is to take 12:00 (h = 12, m = 0) as a reference. The angle is formed from the hour hand clockwise towards the minute hand. Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. General formula for angle between two hands of a clock. Objective: Find the Angle between hour hand and minute hand at the given time. so in (60 h + 3)/ 60 hours it will move (60 h + 3) × 30/ 60 degrees = 30 h + m / 2 degree. Please note that the hour hand doesn’t stay at same position when minute hand of clock is moving. C++. 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. … Comment hidden because of low score. int angle = Math.abs(h – m); if (angle > 180) { 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. 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. Similarly, each minute on the clock will represent an angle … x= Starting position of hour angle. ), Equation for the angle of the minute hand. The angle should be in degrees and measured clockwise from the 12 o’clock position of the clock. 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). Suppose the hour and minute hands were pointing to 6:00, then there's a 180 degree angle since it's a straight line. filter_none. Thanks for sharing your concerns. Easy trick Clock problems Angle formula. play_arrow. Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes. Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. 0. of 0 vote. In this tutorial, we will learn to get or find the angle between the hour hand and minute hand in C++. Clock Angle Calculator. }. The time is usually based on a 12-hour clock. m = m*min; Here, the small intermediate angle, which is smaller or equal as 180 degrees, is the angle which one would intuitively call angle between hands. Minute hand moves 6 degree per minute . We can clearly say, Hour hand is fully depending on Minutes hand. Created by Kyle O'Brien; Clock Angle Calculator. Therefore, the measure of the angle between the minute and hour hands at 4:42 is 111°.   angle between hour hand and minute hand =240-20=220 degree or 360-220=140. Now, return to the time of 6:50. References: Clock Angle Problem – Wikipedia. The angle is typically measured in degrees from the mark of number 12 clockwise. Now let’s try to write a method to calculate the angle between the hour and minute hand. 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 To return the smaller of the clockwise and counterclockwise angles, wrap the formula above in … public int findAngle(int hour, int min) = 360°. Each hour represents 30 degrees. // 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. Suppose we have two numbers, hour and minutes. Hour hand moves 30 degree per hour . When minute hand is behind the hour hand, the angle between the two hands at M minutes past H o’clock. When are the hour and minute hands of a clock superimposed? int m = 360/60; // 1 min = 6 degree For the minute hand, one minute equates to 6 degrees. - Total angle between hour & minute hand = 120 + 5 = 125 deg - bbattey December 15, 2012 | Flag Reply. The answer is 90. 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. How to calculate the two angles with respect to 12:00? Let us assume. { Following are detailed steps. So our formula is M(30)/60 → M/2: And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. Flag as Inappropriate Flag as … 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. The correct answer is 2 * 30 = 60 degrees. Here H is the hour and M is the minutes past the hour. h m/60 hours = (60 h + 3)/ 60 hours. Degree(min) = M*(360/60). 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 … The angle is typically measured in degrees from the mark of number 12 clockwise. How to calculate the two angles with respect to 12:00?

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