Question

Is the area of the circle inscribed in a square of side a cm, πa² cm²? Give reasons for your answer.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

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