length of a chord in a circle

breezemjr

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Dec 31, 2011
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In a circlewhose diameter is 20 inches, a chord is 6 inches from the center. What is the length of the chord?


I have d=2r
20=2r
20 2r
______
2 2

10=r

Now what do I do to figure out the length of it??
 
After knowing the definition of a chord in a circle, sketch the given problem.

Draw a circle - draw the gicven chord - drop a perpendicular onto the chord from the center of the circle - then join one end of the chord to the center with a straight line.

Do you see a need to use Pythagorian theorem?
 
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