Question

Find the area of the shaded part in the figure given below. (Take π = 22/7)

(All the dimensions are in cm)

• A. $10c{m}^2$
• B. $10.5c{m}^2$
• C. $11c{m}^2$
• D. $11.5c{m}^2$

Answer 1

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

Here, we have two shapes in the given figure - a square and a circle.

Side of the square = 7 cm, and

Diameter of the circle = 7 cm

Radius of the circle = $\frac{7}{2}$cm

Area of the shaded portion = Area of the square - Area of the circle

$=Sid{e}^2-\pi r^2$

$=7^2-\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}$

$=49-38.5$
$=10.5c{m}^2$