$(a)\;\large\frac{20\pi}{3}$$\qquad(b)\;\large\frac{10\pi}{3}$$\qquad(c)\;\large\frac{40\pi}{3}$$\qquad(d)\;None\;of\;these$

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The minute hand moves through $120^{\large\circ}$ in 20 minutes or moves through $\large\frac{2\pi}{3}$ radians.

Given :

Length of the minute hand is 20cm.

Distance moved by the tip of the hand=$l$

$l=r\theta$

$\Rightarrow l=20\times \large\frac{2\pi}{3}$

$\Rightarrow \large\frac{40\pi}{3}$cm

Hence (c) is the correct answer.

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