Question

# Two concentric circles are of radii $$8cm$$ and $$5cm$$.Find the length of the chords of the larger circle which touches the smaller circle.

Solution

## As perpendicular from centre bisects the chord$$\Rightarrow QR=PR$$In $$\Delta ORQ$$ by Pythagoras theorem,$$OQ^2=OR^2+RQ^2$$$$\Rightarrow QR=\sqrt{64-25}=\sqrt{39}$$Also,$$PQ=2RQ$$$$\Rightarrow PQ=2\sqrt{39}$$cm.Mathematics

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