document.write( "Question 258711: A square is inscribed in a circle. If the side of the square is 4 what is the area and circumference of the circle. \n" ); document.write( "
Algebra.Com's Answer #190520 by Earlsdon(6294)\"\" \"About 
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In this problem, the diagonal of the inscribed square is the same as (equal to) the diameter of the circle.
\n" ); document.write( "The diagonal (D) of the square is:
\n" ); document.write( "\"D+=+sqrt%284%5E2%2B4%5E2%29\" from the Pythagorean theorem.
\n" ); document.write( "\"D+=+sqrt%2832%29\"
\n" ); document.write( "\"D+=+4%2Asqrt%282%29\"
\n" ); document.write( "Now that you have the diameter of the circle, you can find its circumference (C) from:
\n" ); document.write( "\"C+=+%28pi%29D\" Substitute \"D+=+4%2Asqrt%282%29\"
\n" ); document.write( "\"C+=+%28pi%29%2A4%2Asqrt%282%29\" or...
\n" ); document.write( "\"highlight%28C+=+4%28pi%29sqrt%282%29%29\"
\n" ); document.write( "The area (A) of the circle is:
\n" ); document.write( "\"A+=+%28pi%29%28D%2F2%29%5E2\"
\n" ); document.write( "\"A+=+%28pi%29%284%2Asqrt%282%29%2F2%29%5E2\" Evaluate.
\n" ); document.write( "\"A+=+%28pi%29%2816%2A2%2F4%29\"
\n" ); document.write( "\"A+=+%28pi%29%2A8\" or...
\n" ); document.write( "\"highlight%28A+=+8%28pi%29%29\"
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