Question

A circle is inscribed in a square whose sides have a length of 14 cm each as shown in the figure given below. Find the area of the portion that is shaded in green.

• A. 196 sq cm
• B. 420 sq cm
• C. 220 sq cm
• D. 42 sq cm

Answer 1

The correct option is D 42 sq cm

Given:
Length of a side of the square (s) = 14 cm
Diameter of the circle (d) = 14 cm

From the image, we can see that the area of the portion that is shaded in green is the area of the square that is excluded from the area of the circle.
$\therefore$Required area = Area of the square − Area of the circle
$\Rightarrow$ Area $=s^2-\pi \frac{d^2}{4}={14}^2-\frac{22}{7}\times \frac{{14}^2}{4}=196-154=42sqcm$

Hence, the area of the portion that is shaded in green in the given image is 42 sq cm.