Question

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

Answer 1

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

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