Question

The length of a minute hand of a wall clock is 10.5 cm. The area swept by it in 10 minutes would be -

• A. 5.77 cm²
• B. 59.25 cm²
• C. 57.75 cm²
• D. 51.75 cm²
• E. 51.25 cm²

Answer 1

The correct option is C

57.75 cm²

In 60 minutes, minute hand goes one circle. 10 minutes it goes $\frac{10}{60}=\frac{1}{6}$ of circle

Required area = $\frac{\pi r^2}{6}=\frac{1}{6}\times \frac{22}{7}\times {\left(10.5\right)}^2=57.75c{m}^2$