Question

Through what angle does the minute hand of a clock turn in 45 minutes?

a) 215°
b) 180°
c) 270°
d) 200°

Answer 1

The minute hand of a clock turns through an angle of 270° in 45 minutes.

Step-by-step explanation:

The student is asking about the angle of rotation that the minute hand of a clock turns through in 45 minutes. The minute hand completes a full 360° rotation in 60 minutes, which means it rotates at a rate of 6° per minute (360° / 60 minutes = 6° per minute). To find the angle for 45 minutes, you simply multiply the rate of rotation by the number of minutes:

45 minutes × 6° per minute = 270°.

Therefore, the minute hand of a clock turns through an angle of 270° in 45 minutes. The correct answer is c) 270°.