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