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GPREP1- Square in circle

Expert replies
by medea66 » Mon Aug 18, 2008 7:27 pm
If area of circle = pi r squared, how do you get 8pi?
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Source: — Problem Solving |

Re: GPREP1- Square in circle

by sudhir3127 » Mon Aug 18, 2008 8:55 pm
medea66 wrote:If area of circle = pi r squared, how do you get 8pi?
If a square is inscribed in a circle .. the diagonal of the square will be the diameter of the circle.

Area of the square = 16
hence S = 4

Diagonal of a square is sqrt 2* side

thus the diagonal is sqrt 2*4

hence the radius of ths circle is 1/2* (sqrt2*4)

thus Radius = sqrt2*2

Area of the circle is pi*r^2

therefore its pi* (2rt2)^2
= 8pi

hope it helps..
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by medea66 » Wed Aug 20, 2008 6:11 pm
I get it.
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