Question

A circle is inscribed in a square. Write and simplify an expression for the ratio of the area of the square to the area of the circle. For a circle inscribed in a square, the diameter of the circle is equal to the side length of the square.

Answer 1

let the length of each side of square is S
area of circle = S^2
as the diameter of the circle is equal to the side length of the square
thus the length of its radius become S/2
area of circle = pi (S/2)^2
can you find the ratio now??

Answer 2

2^2 ?

Answer 3

area of square = S^2 sorry

Answer 4

ratio = 4/pi

Answer 5

Hold on please give me a second.

Answer 6

ok

Answer 7

Im back :)

Answer 8

@rizwan_uet

Answer 9

the area of the square is a^2 where a is it side. so you have S1=a^2, and for the circle you have S2=pi*r^2 where r=a/2 so you have S2=pi*a^2/4
so the ratio is S1/S2=a^2/(pi*a^2/4)=4/pi

Answer 10

Oh okay. I understand. is this my whole answer ?

Answer 11

yes it's just 4/pi

Answer 12

Okay cool. Thank you