Question

If the minute hand is 14 cm long, the area of the face of the clock swept between 12.10 am and 12.25 am is

• A. 38.5 $c{m}^2$
• B. 77 $c{m}^2$
• C. 115.5 $c{m}^2$
• D. 154 $c{m}^2$

Answer 1

The correct option is D 154 $c{m}^2$

The area swept is clearly a quarter circle
Area = $\frac{1}{4}\times \frac{22}{7}\times 14\times 14c{m}^2=154c{m}^2$