5. find the ratio between the area of a square inscribed in a circle and an equilateral circumscribed about the same circle.

Answer 1

make a good sketch,
let each side of the equilateral triangle be 2
then the height of the equilateral triangle ....
using the 30-60-90 triangle ratios, is √3
area of triangle = (1/2)(2)√3 = √3

You should have a small equilateral triangle sitting on top of the square with sides 1
so the side of the square is 1
and its area is 1x1 = 1

ration of square : triangle = 1 : √3

= 1/√3 = √3/3 or √3 : 3

Answer 2

why did u include triangle ? wait i dot understand