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Question

Minute hand of a watch is 4 cm long. How far does it's tip moves in 45 minutes? (use π=3.14)

A
6.28 cm
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B
18.84 cm
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C
12.56 cm
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D
33.12 cm
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Solution

The correct option is B 18.84 cm
In 60 minutes, the minute hand of a watch completes one revolution. Therefore, in 45 minutes, the minute hand turns through 4560=34 of one revolution.
θ=34×360=270=3π2 rad
Hence, the required distance travelled is given by
l=r θ=4×3π2 cm=18.84 cm

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