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


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