Question

Help need step by step instructions. Will give you medal and become a fan (:

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

what math are you in O.o

Answer 2

honors algebra II

Answer 3

oh that would explain why i don't know anything XD sorry i couldn't help

Answer 4

its fine!

Answer 5

Area of square is diameter squared or twice the radius squared:

(2r)^2 = 4r^2

Area of the circle is pi times radius squared:

(pi)r^2

The ratio of the area of the square to the area of the circle:

4r^2 / (pi)r^2 = 4/pi

Answer 6

ok that makes sense

Answer 7

That last equation looks like:\[\frac{ 4 \times \cancel {r ^{2}} }{ \Pi \times \cancel {r ^{2}} }\]

Answer 8

My computer is having trouble with the Openstudy MathJax. Did that last equation come out ok?

Answer 9

@shaylynnwalls1 ? Did it?

Answer 10

yes it did thank you!