noelleerobinson noelleerobinson

04-05-2020
Mathematics

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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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surjithayer10 surjithayer10

04-05-2020

Answer:

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

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