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Question

A chord of length 12 cm is drawn in a circle of radius 10 cm. Calculate its distance from the centre of circle.

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Solution

Let AB=12 cm be the chord of the circle with radius AO=10 cm
Draw OPAB Join OA
AP=12AB=12×12=6cm
In APO,P=90
AO2=AP2+OP2
102=62+OP2
OP2=10036
OP2=64
OP=8cm
Hence the distance of the chord from the circle is 8 cm.

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