Q4 of 31 Page 183

The circumference of a circle is equal to the perimeter of a square. Find the ratio of their areas.

Given the circumference of a circle is equal to the perimeter of a square. We know that circumference of the circle = 2πr and the perimeter of a square = 4× length of the side.


⇒ 2πr = 4×side


… (i)


We know that area of the square = (Side)2


Also, the area of a circle = πr2


⇒ Ratio of their areas


⇒ Ratio of their areas


⇒ Ratio of their areas


⇒ Ratio of their areas


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