document.write( "Question 624289: A chord 6 cm long is 2 cm from the center of a circle. How long is a chord that is 1 cm from the center of the same circle? \r
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Algebra.Com's Answer #392630 by lwsshak3(11628)\"\" \"About 
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A chord 6 cm long is 2 cm from the center of a circle. How long is a chord that is 1 cm from the center of the same circle?
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\n" ); document.write( "For 6 cm chord:
\n" ); document.write( "one leg of right triangle=3 cm (1/2 chord)
\n" ); document.write( "other leg of right triangle=2 cm from center
\n" ); document.write( "hypotenuse=radius=√(3^2+2^2)=√13
\n" ); document.write( "..
\n" ); document.write( "For chord =x
\n" ); document.write( "one leg of right triangle=x/2 (1/2 chord)
\n" ); document.write( "other leg of right triangle=1 cm from center
\n" ); document.write( "hypotenuse=radius=√(x/2)^2+1^2)
\n" ); document.write( "..
\n" ); document.write( "√(x/2)^2+1^2)=√13
\n" ); document.write( "(x/2)^2+1^2=13
\n" ); document.write( "x^2/4+1=13
\n" ); document.write( "x^2+4=52
\n" ); document.write( "x^2=48
\n" ); document.write( "x=√48
\n" ); document.write( "x≈6.93 cm\r
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