Question

The length of the minute hand of a clock is 14 cm. Find the area in ${cm}^2$ swept by the minute hand in 5 minutes.

• A. 51.3
• B. 55.1
• C. 60.2
• D. 70.8

Answer 1

The correct option is A

51.3

5 minutes corresponds to ${30}^{\circ }$.

Radius = 14 cm.
Area of a sector = $\frac{\theta }{360}\times \pi \times r^2$

Area = $\frac{30}{360}$ × 3.14 × ${14}^2$ = 51.31 ${cm}^2$.