The position of the hour hand between the clock’s numbers is crucial in this type of problem, as well as whether we want to include how far it has already traveled between the numbers or how far it still has to go to reach the next number. Answer. Your {{submitTextSingle}} has been submitted. = 360°. Through how many radians do the minute and the hour hand move between 1:00 P.M. and 6:45 P.M. (on the same day)? In every hour, both the hands coincide once. Problem How soon after 5:00 o'clock will the hands of the clock form a (a) 60-degree angle for the first time, (b) 60-degree angle for the second time, and (c) 150-degree angle? At 4'o clock, the minute hand will be 20 min. So they would be at right angle in the following two cases. At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions ? Clocks and Angles In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through of a circle.. In total, 50 minutes (20+30 = 50) to be gained for the hands to be opposite in directions.1 minute is gained in 12/11 minutes. Angle traced by the minute hand in 60 minutes is 360Â°. The angle between each pair of numbers shown on the clock is 6$\times$5 = 30$^{\text{o}}$, since it takes the minute hand 5 minutes to turn from one number to the next. From the first clock to second clock, when the minute hand traces 60 minutes, the minute spaces between the hour hand and minute  hand becomes 55 in the second clock from zero in the first clock. 3. The hands of a clock coincide in the following timings. Examples: Input: h = 12:00 m = 30.00 Output: 165 degree Input: h = 3.00 m = 30.00 Output: 75 degree Speed of the hour hand= 0.5 degrees per minute (dpm) 2. Every clock would have two hands. Sample. Given the time in 24 hour format.Find the angle between hour handle and minute handle in a clock at any given time. ... A recursive solution is a straightforward way to represent this relationship. 9. These tricks will help you to solve clock problems in the competitive exam in less time. In the above clock,  the two hands are coincident and the time is 12'o clock. If the two hands are coincident, and we want the minute spaces between them to be 10 minutes, then 10 minutes to be gained. 1 minute is gained in 12/11 minutes (see the notes). (Hint : To find the reflex angle between the hands, find the actual angle between the hands and subtract it from 360Â°), 10 hrs 25 min  =  1025â60  =  10 5â12  =  125/12 hrsAngle traced by the hour hand in 1 hour is, Angle traced by the minute hand in 1 minutes is, Angle traced by the minute hand in 25 min is. In 24 hours, they coincide 22 times.So, the hands of a clock coincide 22 times in a day. We have to measure minute spaces from hour hand to minute hand in clock wise direction. Find the reflex angle between the hands of a clock at 10.25. In 24 hours, they point in opposite directions in 22 times. If 20 minutes are gained, the hands would be coincident. But we need 30 min. From the above calculation, it is very clear that the hands point in opposite directions 11 times in 12 hours. Problem (CE Board Problems November 2016) What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark? 2:16:00.0 C. 2:17:56.3 D. 2:19:03.1 Solution How many times are the hands of a clock at right angle in a day ? If the correct time is 9 and a clock indicates 9.15, it is said to be 15 minutes too fast. If there is 30 minute space between the hour hand and minute hand, then they are in opposite directions. The angle between the minute hand and the hour hand of a clock when the time is 8. We deduce this because, if we want the minute hand to form a right angle, it must point at $$15$$ minutes later than the hour indicated by the hour hand, and $$15$$ minutes later than number $$2$$ is minute $$25$$. What is the angle between the hands of a clock at 1 o'clock? = Difference between the angles traced by the two hands. The clock measures a time interval of 3600 s when the jet moves with speed 400 m/s. Angle Between Hands of a Clock. It is nothing but the minute spaces between the two hands. 2. 2. At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. So, between 4 and 5 o'clock the hands of a clock point in opposite directions at 4 hrs 54, So, the reflex angle between the hands of a clock at 10.25 is. 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