SOLUTION: The radius of a circle is 34 cm long and a chord of the circle is 60 cm long .how far is the chord from the center of the circle?

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Question 822021: The radius of a circle is 34 cm long and a chord of the circle is 60 cm long .how far is the chord from the center of the circle?
Answer by KMST(5328) About Me  (Show Source):
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AB=60cm , OA=OB=34cm
AC=BC=60cm%2F2=30cm
According to the Pythagorean theorem,
OC%5E2%2B%2830cm%29%5E2=%2834cm%29%5E2
OC%5E2%2B900cm%5E2=1156cm%5E2
OC%5E2=1156cm%5E2-900cm%5E2
OC%5E2=256cm%5E2
OC=sqrt%28256cm%5E2%29
OC=16cm
The chord is 16 cm from the center.