SOLUTION: Two concentric circles have diameters of 672 and 840. Find the length of a chord of the larger circle which is tangent to the smaller circle.

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Question 438709: Two concentric circles have diameters of 672 and 840. Find the length of a chord of the larger circle which is tangent to the smaller circle.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of the smaller circle is 336,while the radius of the bigger circle is 420. The difference between the two (concentric) radii is 84. Hence the length of HALF the chord is sqrt%28420%5E2+-+84%5E2%29+=+sqrt%28169344%29=+411.514to 3 decimal places. Multiply by 2 to get the whole length.