document.write( "Question 1029427: The radius of a semi circle is 5 cm.A square is fitted inside the semi circle .Calculate the area of the square \n" ); document.write( "
Algebra.Com's Answer #644478 by Boreal(15235)\"\" \"About 
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If you draw this, the side of the square on the diameter is symmetric from the center, and let each part be x.
\n" ); document.write( "But the sides are now 2x each, so the vertical sides, extending to the semicircle, are 2x. The diagonal is the radius, or 5 cm. That is a right triangle.
\n" ); document.write( "x^2+(2x)^2=5^2=25
\n" ); document.write( "5x^2=25
\n" ); document.write( "x^2=5
\n" ); document.write( "x= +sqrt(5) cm.
\n" ); document.write( "2x= 2sqrt(5) cm.
\n" ); document.write( "The area of the square is twice x or [2(sqrt(5)]^2=4*5=20 cm^2
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