The minute hand of a clock is 15 cm long and it sweeps an area of 15π cm² on the dial of the clock. How much angle does it make in this period?
A.12°
B.18°
C.24°✓ Correct
D.30°
Explanation
Area swept by the minute hand = (θ/360°)·π·r² = 15π. With r = 15, π·r² = 225π. So (θ/360°)·225π = 15π, giving θ/360° = 15/225 = 1/15, so θ = 360°/15 = 24°.
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