Question

Find the area of shaded region, if ABCD is a square having side equal to 14 cm, which is also equal to the diameter of circle.

• A. 42 $c{m}^2$
• B. 154 $c{m}^2$
• C. 196 $c{m}^2$
• D. 350 $c{m}^2$

Answer 1

The correct option is A 42 $c{m}^2$

Given: Diameter = 14 cm

Radius = r = $\frac{diameter}{2}$ = $\frac{14}{2}$ = 7 cm

Area of shaded region
= Area of square ABCD - Area of circle
= $sid{e}^2$ - $\pi r^2$
[Considering the value of $\pi$ = $\frac{22}{7}$]
= ${14}^2$ - $(\frac{22}{7}\times 7^2)$
= 196 - (22$\times$7)
= 196 - 154
= 42 $c{m}^2$