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.
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
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 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
180 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 minute hand of a clock turns about 360 degrees each hour.
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 angle between the hour hand and the minute hand on a standard clock at 6:30 is 15 degrees. Let's review the movement of the hands of the clock specific to this problem. The hour hand moves through the 12 hours of half a day in 12 hours (naturally), and that translates into the hour hand moving 360 degrees in 12 hours. That means the hour hand moves 360/12, or 30 degrees per hour. That translates into 15 degrees in half an hour. If the hour hand is pointing straight down at 6:00 (which it is), it will move 15 degrees from where it was in half and hour. And the time will be 6:30 with the minute hand pointing straight down. The minute hand will be pointing to where the hour hand was half an hour ago. And, as stated, the hour hand will have moved from dead on the six and gone 15 degrees further around.
Hour hand moves 30 degrees, minute hand moves 360 degrees.
12 hours = 360 degrees 4 hours = 12/3 = 360/3 degrees = 120 assuming 4pm is meant
720, 8,640 and 518,400 degrees respectively.