# 3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

D Devendra Khairwa

The minute hand rotates 360o in one hour.

We need to find rotation in 5 min.  :-

$=\ \frac{360^{\circ}}{60}\times 5\ =\ 30^{\circ}$

The area of sector is given by :

$\\Area\ =\ \frac{\Theta}{360^{\circ}}\times \pi r^2\\\\Area=\ \frac{30}{360^{\circ}}\times \pi \times 14^2\\\\Area=\ \frac{154}{3}\ cm^2$

Hence the area swept by minute hand in 5 minutes is $\frac{154}{3}\ cm^2$.

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