Question

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

Answer 1

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