Q6 of 31 Page 178

The circumference of a circle is equal to perimeter of a square. If area of the square is 484 m2, then find the area of the circle.

Given area of the square = 484 m2


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


⇒ (Side)2 = 484


⇒ side = 22 m


Also, given that circumference of a circle = perimeter of a square


We know that circumference of the circle = 2πr


And the perimeter of a square = 4× length of the side


⇒ Perimeter of square = 4×22 = 88 m


⇒ Circumference of circle = 88 m



⇒ r = 14 m


Also, the area of a circle = πr2



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