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Question

If a square of area 3 square units is inscribed in a circle, then the area of the circle is

A
32π sq.cm
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B
9π2 sq.cm
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C
6π sq.cm
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D
3π sq.cm
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Solution

The correct option is A 32π sq.cm
Given, area of a square =3 sq.cm
Let a be side of square.
a2=3
a=3 cm

Diagonal =a2
=3×2 cm
=6 cm

Diameter of circle = diagonal of square =6 cm

Radius =62 cm
r=32 cm

Area of the circle =πr2
=π×(32)2 cm2
=32π cm2

Hence, the area of the circle is 32π cm2


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