Question

The area of the shaded region in the given figure is sq $\text{in. [ Take π =}\frac{22}{7}]$

• A. 10.5
• B. 11.5
• C. 10
• D. 11

Answer 1

The correct option is A 10.5


The given figure is composed of a circle inside a square.

Length of each side of the square = 7 in
∴ Area of the square = 7 × 7 = 49 sq in

Now, diameter of the circle = Length of one side of the square

So, diameter of the circle = 7 in

$\text{∴ Area of the circle}=\pi \times r^2$

$\Rightarrow \text{Area of the circle}=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}$

$\Rightarrow \text{Area of the circle}=38.5\text{sq in}$

∴ Area of the shaded portion
= Area of the square – Area of the circle
$=49-38.5\text{sq in}$
$=10.5\text{sq in}$