Question

In the diagram, the area swept by the wiper of a car is shown. Find the area of the shaded portion

• A. $102.7c{m}^2$
• B. $120c{m}^2$
• C. $107c{m}^2$
• D. $98c{m}^2$

Answer 1

The correct option is A $102.7c{m}^2$

$ar\left(ABCD\right)=ar\left(OBC\right)-ar\left(BAD\right)$

$\Rightarrow \left(\frac{30}{{360}^o}\right)\pi (2^2-7^2)$

$\Rightarrow 115-45-12-82$

$=102.7c{m}^2$