What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?

At 4:00, the minute hand points to 12 and the hour hand points to 4, so the smaller angle between them is 4 × 30° = 120°. The sector is 120/360 = 1/3 of the full circle. Its area is (1/3)π(9²) = 27π square inches, so the answer is 27π in.².

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