Question

Find the area of the shaded part in the figure given below. (Take $\pi$ = $\frac{22}{7}$)(All the dimensions are in cm)

• A. 11 cm${}^2$
• B. 10.5 cm${}^2$
• C. 9.5 cm${}^2$
• D. 11.5 cm${}^2$

Answer 1

The correct option is B

10.5 cm${}^2$

Here we have two figures: a square of side 7 cm and a circle of diameter 7 cm, or radius $\frac{7}{2}$ cm
Area of the shaded portion = Area of the square – Area of the circle

= $a^2–\pi r^2$ (where a is the side of the square and r is the radius of the circle)

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

= 49 – 38.5

= 10.5 $c{m}^2$