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Question

What is length of chord of a circle with its radius as 5 cm and perpendicular distance from centre is 4 cm?

A
6 cm
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B
3 cm
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C
10 cm
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D
12 cm
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Solution

The correct option is A 6 cm
Radius of the circle, OA=5 cm
OP=4 cm
We know that, the perpendicular from the center of a circle to a chord bisects the chord.
AP=PB
Consider triangle OPA.
By pythagoras theorem,
AP2 = 5242
AP2 = 32
AP = 3 cm
AP=PB=3 cm
AB=AP+PB
AB=6 cm
Hence, the length of the chord is 6 cm.

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