Question

# Two concentric circles are of radii $$5\ cm$$ and $$3\ cm$$. Find the length of the chord of the larger circle which touches the smaller circle.

Solution

## REF.ImageIn $$\triangle OBP$$, by Pythagoras theorem$$OB^{2}=OP^{2}+BP^{2}$$$$\Rightarrow 5^{2}=3^{2}+BP^{2}\Rightarrow BP= 4 cm$$Similarly AP = 4 cm $$\Rightarrow$$ AB= 8 cmMaths

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