SOLUTION: If a 20 cm chord is 6 cm from a 10 cm chord. Find the radius of the circle.

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Question 1125549: If a 20 cm chord is 6 cm from a 10 cm chord. Find the radius of the circle.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



From the figure (I tried to get it close to true-to-scale):
(1) +r%5E2+=+10%5E2+%2B+k%5E2+
(2) +r%5E2+=+5%5E2+%2B+%28k%2B6%29%5E2+

Setting these two equal and solving for k, k = 13/4 —> +highlight%28+r+=+sqrt%281769%29%2F4+%29+cm (approx 10.515cm)


Check:
(1) (ok)
(2) (ok)
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Although it is possible for some parallel chord problems to have a 2nd solution where the chords are on opposite sides of the circle's center, this problem does not have solution for that configuration.