document.write( "Question 172885: Find the radius of a circle if a 48-meter chord is 7 meters from the center. \n" ); document.write( "
Algebra.Com's Answer #127736 by colliefan(242)\"\" \"About 
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Find the radius of a circle if a 48-meter chord is 7 meters from the center\r
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\n" ); document.write( "\n" ); document.write( "Draw a circle and draw the chord horizontally across the bottom of the circle. Draw the segment from the center of the circle to the midpoint of the chord. It is 7 m long by the problem's definition and forms a right triangle with the chord. You now have a right triangle and know the lengths of the two legs. The radius of the circle is the hypotenuse of the triangle. Its length can be calculated from the Pythagorean theorem.\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+c%5E2\"
\n" ); document.write( "\"7%5E2+%2B+24%5E2+=+c%5E2\"
\n" ); document.write( "\"49%2B576=c%5E2\"
\n" ); document.write( "\"625=c%5E2\"
\n" ); document.write( "c=25\r
\n" ); document.write( "\n" ); document.write( "The radius is 25 m.
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