If a circle is inscribed in a square of area 4 sq units, then the area of the circle is
π
`π4
3π4
π2
A
`π4
B
π
C
π2
D
3π4
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Solution
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⇒ Area of a square =4 square units.
Let a be side of square.
⇒a2=4
⇒a=2 units.
Diameter of circle and side of square are equal.
∴r=22=1 unit.
⇒ Area of a circle inscribed in a square =πr2
=π×(1)2
=π
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