MEDAL REWARDED 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.

Question

jim_thompson5910 · Answer

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jim_thompson5910 · Answer

Let r = radius of the circle

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jim_thompson5910 · Answer

Area of the square:  A = s^2 = (2r)^2 = 4r^2

Area of the circle:  A = pi*r^2

Now divide the two areas to find the ratio. Simplify as much as possible

anonymous · Answer

2r=d=s
2r=d
d/2=r
pi*d^2/2^2=1/4 pi d^2

jim_thompson5910 · Answer

what is 4r^2 divided by pi*r^2

anonymous · Answer

wait im confused now

jim_thompson5910 · Answer

do you see how I got the area of the square?

jim_thompson5910 · Answer

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