Question

The given 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. $102.67c{m}^2$
• B. $205.34c{m}^2$
• C. $51.33c{m}^2$
• D. $208.16c{m}^2$

Answer 1

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

R..E.F image

Shaded Area $=\pi (R^2-r^2)\times \frac{\theta }{{360}^{\circ }}$

$=\pi (21{)}^2-(7^2)\times \frac{{30}^{\circ }}{{360}^{\circ }}$

$=\pi \times (441-49)\times \frac{30}{360}$

$=\frac{22}{7}\times 392\times \frac{30}{360}$

$=102.67c{m}^2$