Question

Choose the correct answer form alternatives given.
The diagram represents the area swept by the wiper of a car. With the dimensions given in the figure, calculate the shaded area swept by the wiper.

• A. 102.67 $c{m}^2$
• B. 205.34 $c{m}^2$
• C. 51.22 $c{m}^2$
• D. 208.16 $c{m}^2$

Answer 1

The correct option is A 102.67 $c{m}^2$

R=14 + 7=21 cm.
r = 7 cm
Area of shaded region = ($\pi R^2-\pi r^2)\times \frac{\theta }{{360}^{\circ }}$
= $\frac{30}{360}\times \frac{22}{7}(21+7)\left(217\right)=\frac{30}{360}\times \frac{22}{7}\times 28\times 14$
= 102.666 $c{m}^2$ = 102.67$c{m}^2$ (approx.)