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Intersecting Chord Properties of Circle

Two chords AB...

Question

Two chords AB and CD intersect at point P inside the circle. Find PD if PA = 6 cm, PB = 3 cm and PC = 2 cm.

7 cm

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9 cm

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8 cm

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18 cm

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Solution

The correct option is B 9 cm
When two chords intersect each other within a circle, the product of the chord segments will be equal.
So, $P A \times P B = P D \times P C$
6 x 3 = PD x 2
PD = 9 cm

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