document.write( "Question 72115: An Indian sand painter begins his picture with a circle of dark sand. He then inscribes a square with a side length of 1 foot inside the circle. What is the area of the circle? \n" ); document.write( "

Algebra.Com's Answer #73887 by edjones(8007) $\"\"$ $\"About$

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if the sides of the square are 1 ft long then the diagonal (and the diameter of the circle) is sqrt(2) from the pythagorean theorem.
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "1^2+1^2=2
\n" ); document.write( "c=sqrt(2)
\n" ); document.write( "the radius of the circle=sqrt(2)/2
\n" ); document.write( "area of circle= $\"A=pi%28sqrt%282%29%2F2%29%5E2=pi%282%2F4%29=pi%2F2\"$
\n" ); document.write( "Ed \n" ); document.write( "

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