Question

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.

Answer 1

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