Two concentric circles have radii 6 and 14. Find the length of a chord of the larger circle that is tangent to the smaller circle.

Question

Mathematics

Sage Duke

12 March, 13:39

Two concentric circles have radii 6 and 14. Find the length of a chord of the larger circle that is tangent to the smaller circle.

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Answers (1)

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Mariam Lindsey · Answer 1

Step-by-step explanation:

let 2x be the length of chord tangent to first circle.

so x=√ (14²-6²) = √ (14+6) (14-6) = √ (20*8) = √160=4√10

length of chord=2x=2*4√10=8√10