a square is circumscribed about a circle. what is the ratio of the area of the circle to the area of the square?

Question

anonymous · Answer

pi over 4 or 2 over pi. Those are the options.

anonymous · Answer

|dw:1366619789992:dw|
area of a circle is $$\pi \times r^2$$
area of a square is $$s^2$$
from the diagram, how many radii of the circle is the same length as one side of the square?

anonymous · Answer

pi/4 or2/pi

anonymous · Answer

one of them is the correct answer

anonymous · Answer

|dw:1366620001906:dw|

anonymous · Answer

i'm showing you how to do the problem, i'm not just going to give you the answer.

anonymous · Answer

:(

anonymous · Answer

its 2/pi

anonymous · Answer

let's just do the problem, shall we?

anonymous · Answer

aha i dont understand

anonymous · Answer

you know the formulas for area of a circle and area of a square?

anonymous · Answer

Area = a2 for a square and Area = π × r2 for a circle

anonymous · Answer

yes. so you are supposed to be comparing the areas, so you first want to find out how the radius of the circle relates to the side length of the square.

anonymous · Answer

help me compare the area

anonymous · Answer

|dw:1366620456509:dw|
as you can see, 2 times the radius of the circle is as long as the side of the square