FIND THE ANGLE MEASURE BETWEEN THE HANDS AND CLOCK IN EACH FIGURE a) 8:00 A. M b) 4:00 A. M c) 2:00 P. M
Answers
Answer:
a) 0°
b) 0°
c) 0°
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Answer:
1} The distance between each notch on the clock is 6 degrees because there are 360 degrees on the clock, and there are 60 notches total. The minute hand is at notch #20, and so it is 120 degrees from the top. The hour hand is a little past notch #40 because the time is a little past hour 8. Thus, the hour hand is a little past 240 degrees from the top, going clockwise (40×6 degrees).
In each hour, the hour hand goes 5 notches, or 30 degrees. Because it is now 20 minutes past the hour, a third of an hour has passed. One third of 30 degrees is 10 degrees. Thus, the hour hand is 10 degrees past notch #40. The hour hand is 250 degrees from the top, going clockwise. The angle between the two hands is thus 130 degrees.
2} 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. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.
3} Step-At four o’clock the minute hand is on the 12 and the hour hand is on the 4. The angle formed is 4/12 of the total number of degrees in a circle, 360.
4/12 * 360 = 120 degrees