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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)
[Take 𝛑=227]


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

The correct option is A 3.43 sq. ft
Given :
Side of square = 4 ft
Diameter(d) = 4 ft
Radius(r) =d22 ft


Area of square =4×4=16 sq.ft

Area of circle = 𝛑r2

=227×2×2

=12.57 sq.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


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