document.write( "Question 946640: The length of a chord in a circle is 10 units. Its distance from the center of the circle is 3 units. Which is the radius ?
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Algebra.Com's Answer #577512 by macston(5194) $\"\"$ $\"About$

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The distance from the center to the chord would be from the radius to the midpoint of the chord, and perpendicular to the chord. This giives us two legs of a right triangle: A= the distance from midpoint to radius=3, and B=midpoint of chord to circle=5. The radius corresponds to the hypotenuse of this triangle, so:
\n" ); document.write( " $\"A%5E2%2BB%5E2=C%5E2\"$
\n" ); document.write( " $\"3%5E2%2B5%5E2=C%5E2\"$
\n" ); document.write( " $\"9%2B25=C%5E2\"$
\n" ); document.write( " $\"34=C%5E2\"$ Find square root of each side
\n" ); document.write( " $\"+sqrt%2834%29=C\"$ =5.83 ANSWER The radius of the circle is (approx) 5.83 units\r
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