The perimeter of a circle is equal to that of a square. Their areas are in the ratio of ____.

Dear Student!

Here is the answer to your query.

Let the radius of circle and side of square be r and s respectively.

Given : Perimeter of circle = perimeter of square

⇒ 2πr = 4s

  • 50

 2 * pie * r = 4 * s

r = 4s / 2 * pie 

r = 4s / 44 / 7

r = 4s * 7 /44

r = 7s / 11

s = s

Area of circle = 22 / 7 * 7s / 11 * 7s / 11

Area of Circle = 14s /11

Area of square = s2

(14s / 11 ) / ( s2 )

14 / 11s

  • 17
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