alleryThe length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is
A38.5 sq cm
B154 sq cm
C102.67 sq cm
D51.33 sq cm
Answer & Solution
Correct answer: D. 51.33 sq cm
1. In 5 min the minute hand sweeps 5/60 × 360 = 30 degrees.
2. Area = (30/360) × (22/7) × 14 squared = (1/12) × 616.
3. Area = 51.33 sq cm.
_Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_
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