SOLUTION: one circle is circumscribed around a square that has sides of length 2. Another circle is inscribed in the same square. Find the ratio of the area of the larger circle to that of

Question 328658: one circle is circumscribed around a square that has sides of length 2. Another circle is inscribed in the same square.
Find the ratio of the area of the larger circle to that of the smaller circle
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
square circumscribed by a circle
length of square = 2
so diagonal = 2sqrt2
1/2 diameter = 1/2 * 2sqrt2
radius = sqrt2
area of circle = pi*(sqt2)^2
area = 2pi
..
circle circumscribed in a square
1/2 diagonal of square = sqrt2
1/2 the side = 1
(sqrt2)^2-1^2= radius of cicle ^2
2-1=radius squared
1 = radius
area of circle = pi*1^2
=pi
ratio = 2pi/pi
=2
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