720
180 degrees.
The hour hand would be at 195 degrees and the minute hand at 180 degrees.
If we simply imagine the minute hand is on the 6, and the hour hand is on the two, there will be a total of 120 degrees between the minute and the hour hand, 1/3 of the clock is covered between the two hands. However, it is not that simple. Because 30 minutes has travelled, the hour hand will be half way between the 2 and the 3. We know that every hour, the hour hand moves 30 degrees (360 / 12 hours = 30). Therefore, in 30 minutes, it will have travelled 15 degrees. Which means the hour hand is 15 degrees closer to the minute hand. Therefore, the actual angle between the minute and hour hand is actually 105 degrees.
This problem can be solved as follows: The angle Ah of the hour hand of a clock, measured from the position at noon or midnight when the hour and minute hands exactly coincide, is Ah = (360 degrees/12 hours)th, where th is the time in hours, including fractions of hours, because the hour hand moves the entire 360 degrees around the clock in 12 hours. Similarly, the angle Am of the minute hand = (360 degrees/60 minutes)tm, where tm is the time in minutes only, including fractions of minutes. The stated time is 3 + 40/60 + 20/3600 hours = 3.672222... hours and the angle is therefore about 110. 11666666... degrees, using the formula above. The time in minutes only is 40 + 20/60 = 40.33333...., so that the angle of the minute hand is 242 degrees. The difference between them is therefore about 131.833..... degrees, or in fraction form 131 and 5/6.
the hour hand is turned 4/12th of a whole circle, which is 360 degrees, so 4/12 * 360 deg = 120 degrees is the angle between the hour hand and the minute hand at 4 o' clock
The hour hand of a clock completes one full rotation, or 360 degrees, in 12 hours. This means that the hour hand turns 30 degrees per hour. So, in 12 hours, the hour hand will turn a total of 360 degrees.
150 degrees
The short hand of a clock, which represents the hour hand, completes a full circle in 12 hours. Since a full circle is 360 degrees, in one hour, the hour hand travels 30 degrees (360 degrees divided by 12 hours). Therefore, in one hour, the short hand travels 30 degrees on any clock.
The hour hand of a clock completes one full revolution, or 360 degrees, in 12 hours. Therefore, in 6 hours, it moves half of that distance. To calculate this, you can divide 360 degrees by 12 hours to get 30 degrees per hour, and then multiply by 6 hours. Thus, the hour hand moves 180 degrees in 6 hours.
180 degrees.
From 2 o'clock to 6 o'clock, the hour hand of a clock turns through 120 degrees. This is because the hour hand moves at a rate of 30 degrees for each hour (360 degrees divided by 12 hours). Since the time span from 2 to 6 is 4 hours, the calculation is 4 hours × 30 degrees/hour = 120 degrees.
The clock is divided into 12 hours. The hour hand moves 1/12th every hour. If the clock is likened to a circle of 360 degrees, each hour would represent 360 / 12 = 30 degrees.
61
5
The hour hand of a clock completes a full rotation of 360 degrees in 12 hours. From 4 PM to 9 PM is a span of 5 hours. Therefore, the hour hand rotates ( \frac{360 \text{ degrees}}{12 \text{ hours}} \times 5 \text{ hours} = 150 \text{ degrees} ) between 4 PM and 9 PM.
720. in 60 minutes, the hour hand on a clock turns a complete circle, or 360 degrees. since 120 minutes is 2 hours, the hour hand would make 2 complete turns, which is 360 degrees twice, which is 720 degrees.
The minute hand of a clock turns about 360 degrees each hour.