Is the area of the circle inscribed in a square of side a cm, πa²cm²? Give reasons for your answer.

Question

Is the area of the circle inscribed in a square of side a cm, πa 2 cm 2 ? Give reasons for your answer.

Philoid · Accepted Answer

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 = (πa²)/4 cm²

Hence, area of the circle is (πa²)/4 cm²

Is the area of the circle inscribed in a square of side a cm, πa2cm2? Give reasons for your answer.