Question

Plsss answer 20 points

The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.

Answer 1

16.75 cm

Explanation:

The circumference of the circle is πd

The diameter is 16, so the circumference is 16π.

The minute hand goes for 20 min between 3:12 and 3:32

20 min is 1/3 of 60 min.

Therefore, the minute hand swept 1/3 of the circumference, or 1/3(16)π

1/3(16)π = 1/3(16)(3.14) = 16.75 cm