Question

The minute hand of a clock is 10 cm long. Find the area of the face of the clock described by the minute hand between 8 AM and 8.25 AM.

Answer 1

We know that the area A of a sector of circle at an angle θ of radius r is given by

We have,

∴ Required area

= $\frac{150°}{360°}\times \frac{22}{7}\times {\left(10\right)}^2$

= 130.95 cm²