Question

Through what angle does the minute hand of a clock turn in 12 minutes of time? A. 72° B. 120° C. 12° D. 36°

Answer 1

The correct answer option is A. 72°

Explanation:

We know that,

the number of minutes the minute hand has moved = 12; and

the total number of minutes in a complete circle (of clock) = 60

So it means the minute hand has moved
`(12)/(60) = (1)/(5)` of the clock.

Since there are 360 degrees in a clock (circle), so the minute hand would make an angle of
`(1)/(5)` of 360 degrees of the clock.

`(1)/(5)` ×
`360= 72`°

Therefore, the minute hand makes an angle of 72° degree in 12 minutes of time.

Answer 2

The minute hand makes full angle of 360° in 1 hour = 60 minutes.

12 minutes form
`(12)/(60)=(1)/(5)` of an hour.

Then the minute hand makes
`(1)/(5)` of full angle in 12 minutes.
`(1)/(5)` of 360° is

`(360^(\circ))/(5)=72^(\circ).`

Answer: option A.