## A square is inscribed in a circle. If the area of the square is 9 in2, what is the ratio of the radius of the circle to the side of the squa

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

Regardless of the size of the square, half the diagonal is (√2)/2 times the side of the square.

The ratio is

(√2)/2._____

Consider a square of side length 1. The Pythagorean theorem tells you the diagonal measure (d) is …

… d² = 1² +1² = 2

… d = √2

The distance from the center of the square to one of its corners (on the circumscribing circle) is then d/2 = (√2)/2. This is the radius of the circle in which our unit square is inscribed.

Since we’re only interested in the ratio of the radius to the side length, using a side length of 1 gets us to that ratio directly.

Answer:

5

Step-by-step explanation: