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The minute hand of a clock is $14$ cm long. Find the area on the face of the clock described by the minute hand in $5$ minutes.
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Angle subtended in $5$ min. $$\begin{aligned}& = 30^\circ \\ & \text{Area described by minute hand } = \frac{30}{360} \times \frac{22}{7} \times 14 \times 14 \\ & = \frac{154}{3} \text{ cm}^2 \text{ or } 51.33 \text{ cm}^2 \text{ approx.}\end{aligned}$$