Question

The circumference of a circle and the perimeter of square are numerically equal. Write the relationship between area of circle and area of square.

Answer 1

Step-by-step explanation:

circumference of the circle = perimeter of square

let r be radius of circle, s be side of square

2pi×r = 4s

1/2×pi×r = s

area of circle, c = pi× r²

area of square, e = s²

e = s² =( pi×r/2)² = pi²×r²/4 = pi × c/4

e= 0.25×pi×c = 0.786c