SOLUTION: The diameter of a circle is 23 cm. A chord is 7 cm from the centre. How long is the chord?

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Question 765499: The diameter of a circle is 23 cm. A chord is 7 cm from the centre. How long is the chord?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!

Using Pythagorean Theorem:
x%5E2+%2B+7%5E2+=+11.5%5E2
x+=+sqrt%2811.5%5E2+-+7%5E2%29
x+=+sqrt%2883.25%29 or 9.124 (approx)
The length of the chord is 2x = highlight%282sqrt%2883.25%29%29 cm or approximately 18.248 cm.
ANSWER: highlight%282sqrt%2883.25%29%29 cm or approximately 18.248 cm