Question

find the degree and radians the angle between the minute hand of a clock and the hour hand when the time is 7.20am

Answer 1

The correct answer is - 100° angle.

The clock is usually based on the 12-hour category of time.

A circle has a 360° angle. So, the hands of a clock also travel as complete 360° to complete 1 hour. So, the angle in between each hour can be calculated as - 360/12 = 30°

So, at 7.20, the hour's hand will be in between 7 and 8 and the minute's hand will be near 4. Since 1 hour is 60 minutes, 20 minutes means it is 1/3rd of an hour. So, it means that the hour's hand has traveled = 30/3 = 10° beyond 7.

So, the angle in between 7 (hour) and 20 (minutes at 4) is = 30 x 3 + 10 = 100°

Answer 2

Answer:

Step-by-step explanation:

The answer is 100°