True or False
Is the area of the circle inscribed in a square of side a cm, πa2 cm2? Give reasons for your answer.
This statement is False.
Let a be the side of square.
We are given that the circle is inscribed in the square.
Diameter of circle = Side of square = a
Radius of the circle = `a/2`
Area of the circle = πr2 = `π(a/2)^2 = (πa^2)/4` cm2
Hence, area of the circle is `(πa^2)/4` cm2
`Thus the area of the circle inscribed in a square of side a cm is not a2 cm2
Concept: Area of Circle
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