Question

In the adjoining figure, $OABC$ is a square of side $7cm$. $OAC$ is a quadrant of a circle with $O$ as centre. The area of the shaded region is

• A. $10.5c{m}^2$
• B. $38.5c{m}^2$
• C. $49c{m}^2$
• D. $11.5c{m}^2$

Answer 1

The correct option is A $10.5c{m}^2$

Area of the shaded part $=$ Area of the square $OABC-$ Area of the sector $OAC$

$=7^2-\frac{90}{360}\times \frac{22}{7}\times 7^2=49-38.5=10.5{cm}^2$