document.write( "Question 724247: what size rectangle will fit inside a circle of radius 30 feet if the lenght of the rectangle must be three ties it is width \n" ); document.write( "

Algebra.Com's Answer #443695 by KMST(5328) $\"\"$ $\"About$

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\n" ); document.write( "If you recall that a $\"90%5Eo\"$ angle inscribed in a circle intercepts an arc measuring $\"180%5Eo\"$ , you realize that the diagonals of the rectangle are diameters of the circle, so they measure $\"60\"$ feet.
\n" ); document.write( "Each diagonal divides the rectangle into two congruent right triangles with sides measuring $\"x\"$ feet and $\"3x\"$ feet.
\n" ); document.write( "According to the Pythagorean theorem,
\n" ); document.write( " $\"x%5E2%2B%283x%29%5E2=60%5E2\"$ --> $\"x%5E2%2B9x%5E2=3600\"$ --> $\"10x%5E2=3600\"$ --> $\"x=sqrt%28360%29\"$ --> $\"x=sqrt%2836%2A100%29\"$ --> $\"x=sqrt%2836%29%2Asqrt%2810%29\"$ --> $\"x=6sqrt%2810%29\"$
\n" ); document.write( "SO the sides of the rectangle measure
\n" ); document.write( " $\"highlight%286sqrt%2810%29%29\"$ feet and $\"highlight%2818sqrt%2810%29%29\"$ feet. \n" ); document.write( "

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