document.write( "Question 199048This question is from textbook geometry
\n" ); document.write( ": can you please help me solve ((( What is the area of a square inscribed in a circle with radius 6? ))) \n" ); document.write( "

Algebra.Com's Answer #149525 by Earlsdon(6294) $\"\"$ $\"About$

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The inscribed square has a diagonal equal to 2 times the radius ( or the diameter) of the circle and this is 2*6 = 12.
\n" ); document.write( "If a square has a diagonal of 12, then you can find the length of its sides by using the Pythagorean theorem:
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$ Where c is the diagonal and, for a square, the two sides are equal and a = b, so...
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Ba%5E2\"$
\n" ); document.write( " $\"c%5E2+=+2a%5E2\"$ Substitute c = 12 (the diameter of the circle).
\n" ); document.write( " $\"12%5E2+=+2a%5E2\"$
\n" ); document.write( " $\"144+=+2a%5E2\"$ Divide both sides by 2.
\n" ); document.write( " $\"a%5E2+=+72\"$
\n" ); document.write( "The area of the square with sides equal to a is:
\n" ); document.write( " $\"A+=+a%5E2\"$ Substitute $\"a%5E2+=+72\"$
\n" ); document.write( " $\"highlight%28A+=+72%29\"$ sq.units. \n" ); document.write( "

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