Question

The area of shaded region in the given figure is $c{m}^2.$

• A. $\frac{130}{4}$
• B. $\frac{119}{2}$
• C. $\frac{119}{4}$

Answer 1

The correct option is C $\frac{119}{4}$


Area of the shaded region = Area of the square - Area of the semi-circle.
Area of the square $=7\times 7=49c{m}^2$
Area of the semi-circle $=\frac{1}{2}\times \pi \times \frac{7}{2}\times \frac{7}{2}=\frac{77}{4}c{m}^2$
$\Rightarrow$ Area of the shaded region $=49-\frac{77}{4}=\frac{119}{4}c{m}^2$