document.write( "Question 739872: What is the radius of a circle if a chord of the circle that is 16 centimeters long is 6 centimeters from the center of the circle? \r
\n" ); document.write( "\n" ); document.write( "a. 6cm
\n" ); document.write( "b. 8cm
\n" ); document.write( "c. 10cm
\n" ); document.write( "d. 16cm
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Algebra.Com's Answer #451373 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
Draw a picture. The distance between the chord and the circle's center is measured at the chord's midpoint (draw this in) and then connect the chord's endpoints with the circle's center -- these are radii.\r
\n" ); document.write( "\n" ); document.write( "You should see two mirror-image right triangles.\r
\n" ); document.write( "\n" ); document.write( "here is a picture:\r
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\n" ); document.write( "\n" ); document.write( " You have enough information to know the two legs of each triangle, and its hypotenuse is the circle's radius, which you can find using the Pythagorean theorem.\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=8%5E2%2B6%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=64%2B36\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=100\"\r
\n" ); document.write( "\n" ); document.write( "\"r=sqrt%28100%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=10\"\r
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