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A minute hand of a table clock is $5 c m$ long. How far does its tip move in $20$ minutes?

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\frac{44}{7} c m

21 c m

44 c m

\frac{220}{21} c m

answer is B.

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Detailed Solution

r = 5 c m

$θ = 120 ° = \frac{2 π}{3}$

$l = r θ$

$l = 5 \times 2 \times \frac{π}{3}$

$= 10 \times \frac{22}{7} \times \frac{1}{3} = \frac{220}{21} c m$

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