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Perpendicular from the Center to a Chord Bisects the Chord

P is the cent...

Question

P is the centre of the circle and its radius is 10 cm. Distance of a chord AB from the centre is 6 cm. Find the length of chord AB,

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Solution

Given: The radius is $r = 10 c m$

The distance of the chord is $d = 6 c m$

The length of chord is $2 \sqrt{r^{2} - d^{2}}$

$= 2 \sqrt{100 - 36}$

$= 2 \sqrt{64}$

$= 16 c m$

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