Question

two concentric circles of radii x and y a given where X > Y find the chord of larger circle which touches the smallest smaller circle

Answer 1

The tangent of smaller circle is the chord of the larger circle..

Answer 2

Thank you for asking this question. Here is your answer:

∠OEC = 90°

Now we will use the Pythagoras theorem:

(OC)² = (OE)² + (CE)²

x² = y² + (CE)²

CD = 2 CE (⊥ from center bisect the chord)

CD = 2√x²-y²

If there is any confusion please leave a comment below.