Question

The lenght of a minute hand of a clock is 14 cm.What will be the area covered by the minute hand in one minutes?

Answer 1

It takes 1 hour for the minutes hand to cover 360°

1 hour is equal to 60 minutes

Therefore, the angle swept in one minute will be

$\frac{360°}{60 } = 6°$

we need the area of the sector

which is given by

$\frac{theta}{360°}\pi {r}^{2} = \frac{6°}{360°} \times \pi {14}^{2}$

=10.26 cm²