If the area of a circle and a square is the same, then find the r

If the area of a circle and a square is the same, then find the r

| If the area of a circle and a square is the same, then find the ratio of their perimeter.

A. √π : 4

B. √π : 3

C. π : 2

D. √π : 2

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Formula:

Area of square = a² (a = side)

Area of circle = πr² (r = radius)

Circumference of circle = 2πr

Calculation:

According to the question

a² = πr²

⇒ r²/a² = 1/π

⇒ r/a = 1/√π

∴ Required ratio = 2πr : 4a = 2π : 4√π

= √π : 2

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