Question

Solve this please!!
U will be marked brainly!!❤

Answer 1

Given that areas of circle and square are equal.

If a is the side of a square, then the area of the square is a2 sq units.

If r is the radius of a circle, then the area of the circle is πr2 sq units.

According to the condition,

a2 = πr2

a = r√π

The perimeter of a square is 4a.

The perimeter of a circle is 2πr.

Thus the ratio of the perimeter of a square and a circle is

= 4a / 2πr = 2r√π / πr        [ a = r√π]

= 2 / √π

Thus, the ratio is 2 / √π.

that areas of circle and square are equal.

If a is the side of a square, then the area of the square is a2 sq units.

If r is the radius of a circle, then the area of the circle is πr2 sq units.

According to the condition,

a2 = πr2

a = r√π

The perimeter of a square is 4a.

The perimeter of a circle is 2πr.

Thus the ratio of the perimeter of a square and a circle is

= 4a / 2πr = 2r√π / πr        [ a = r√π]

= 2 / √π

Thus, the ratio is 2 / √π.