Question

A clock is shown. The hour hand is at 9 and the minute hand is at 12.
What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?

6.75π in.2
20.25π in.2
27π in.2
81π in.2

Answer 1

Each hour mark is 30°, so the angle between 12 and 4 is 4 × 30° = 120°.
Sector area = (120/360)·π·9^2 = (1/3)·π·81 = 27π in.^2.

Answer: 27π in.^2.