A square and a circle have the same perimeter. Find the ratio of their

1.	A square and a circle have the same perimeter. Find the ratio of their respective area. (π = 22/7)1. 1 : 42. 11 : 143. 10 : 74. 2 : 1
Answer» Correct Answer - Option 2 : 11 : 14 Let the side of square = x and the radius of circle = r; ∵ The circle and the square have the same perimeter; ∴ 4x = 2πr ⇒ x = πr/2 Area of circle = πr2 Area of square = x2 = (πr/2)2 = π²r2/4 ⇒ Area of square =22/28 × Area of circle ∴ Required ratio = 11 : 14

A square and a circle have the same perimeter. Find the ratio of their respective area. (π = 22/7)1. 1 : 42. 11 : 143. 10 : 74. 2 : 1

Answer» Correct Answer - Option 2 : 11 : 14

Let the side of square = x and the radius of circle = r;

∵ The circle and the square have the same perimeter;

∴ 4x = 2πr

⇒ x = πr/2

Area of circle = πr2

Area of square = x2 = (πr/2)2 = π²r2/4

⇒ Area of square =22/28 × Area of circle

∴ Required ratio = 11 : 14

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