## triaglelover92 22. 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. (3 points) one year ago one year ago

1. AbijayBritish

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??

2. campbell_st

let the side length of the square be x the radius of the circle is x/2 so the ratio of areas square to circle is $x^2 : \pi (\frac{x}{2})^2$ or $x^2 : \pi \frac{x^2}{4}$ it can be simplified by dividing both sides of the ratio by x^2 which gives $1:\frac{\pi}{4}$ hope this makes sense.

3. AbijayBritish

So basically the ratio = 4/pi