document.write( "Question 224985: A rectangle that is x feet wide is inscribed in a circle of radius 37 feet. Express the area of the rectangle as a function of x. \n" ); document.write( "

Algebra.Com's Answer #168038 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A rectangle that is x feet wide is inscribed in a circle of radius 37 feet.
\n" ); document.write( " Express the area of the rectangle as a function of x.
\n" ); document.write( ":
\n" ); document.write( "The diameter of the circle is the hypotenuse of the rectangle (74 ft)
\n" ); document.write( ":
\n" ); document.write( "Let L = the length of the rectangle
\n" ); document.write( "Given that x = width of the rectangle
\n" ); document.write( ":
\n" ); document.write( "Pythag.
\n" ); document.write( "L^2 + x^2 = 74^2
\n" ); document.write( "L^2 + x^2 = 5476
\n" ); document.write( "L^2 = 5476 - x^2
\n" ); document.write( "L = $\"sqrt%285476-x%5E2%29\"$
\n" ); document.write( ":
\n" ); document.write( "Area: L * x
\n" ); document.write( "replace L with $\"sqrt%285476-x%5E2%29\"$
\n" ); document.write( ":
\n" ); document.write( "A = x* $\"sqrt%285476-x%5E2%29\"$ \n" ); document.write( "

\n" );