document.write( "Question 1193178: A rectangle is inscribed in a circle of radius r. If the rectangle has a length of 3x, write the area of the rectangle as a function of both x and r \n" ); document.write( "
Algebra.Com's Answer #825179 by ankor@dixie-net.com(22740)\"\" \"About 
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A rectangle is inscribed in a circle of radius r.
\n" ); document.write( " If the rectangle has a length of 3x, write the area of the rectangle as a function of both x and r
\n" ); document.write( ":
\n" ); document.write( "let s = the short side of the rectangle
\n" ); document.write( "then
\n" ); document.write( "A = 3x * s
\n" ); document.write( "find s as a function of r and x
\n" ); document.write( "The diagonal of the rectangle = 2r
\n" ); document.write( "Using pythag
\n" ); document.write( "s^2 + (3x)^2 = (2r)^2
\n" ); document.write( "s^2 = (2r)^2 - (3x)^2
\n" ); document.write( "s = \"sqrt%28%282r%29%5E2+-+%283x%29%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "A = \"3x%2Asqrt%28%282r%29%5E2+-+%283x%29%5E2%29\"
\n" ); document.write( "or
\n" ); document.write( "\"3x%2Asqrt%28%284r%5E2%29+-+%289x%5E2%29%29\" \n" ); document.write( "
\n" );