If the perimeter of a square is equal to the circumference of a circle then the ratio of their areas is

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KollegeApply · Accepted Answer

Let the side of the square be a and the radius of the circle be r. Now, Perimeter of circle = Circumference of the circle $\Rightarrow$ 4a = 2$\pi$ =>"a"/"r" = pi/2 =>"a"/2 = pi/2 Now, `("Area of square")/("Area of circle") = "a"^2/(pi"r"^2") =1/pi xx ("a"/"r")^2 =1/pixxpi^$\frac{2}{4}$ =pi/4` Hence, the correct answer is option $\pi$ : 4.

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