Question

A circle of diameter 4 ft is inscribed in a square as shown. Find the area of the shaded portion in grey. (round off to two decimal places)
$\text{[Take 𝛑=}\frac{22}{7}]$

• A. 3.43 sq. ft
• B. 6.29 sq. ft
• C. 12.57 sq. ft
• D. 16 sq. ft

Answer 1

The correct option is A 3.43 sq. ft

Given :
Side of square = 4 ft
Diameter(d) = 4 ft
$\text{Radius(r) =}\frac{d}{2}\Rightarrow 2ft$


$\text{Area of square =}4\times 4=16sq.ft$

$\text{Area of circle =}𝛑r^2$

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

$=12.57sq.ft$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴Required area = Area of square - Area of circle
= 16 - 12.57 sq. ft
= 3.43 sq. ft