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Question
Is the area of the circle inscribed in a square of side a cm, πa2 cm2? Give reasons for your answer.
Solution
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`
= `(π"a"^2)/4` cm2
Hence, area of the circle is `(π"a"^2)/4` cm2
Thus the area of the circle inscribed in a square of side a cm is not a2 cm2
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