Two chords AB and CD of a circle meet inside the circle at point P. If AP=12 cm,AB= 20 cm and CP=16 cm, then CD= ?

AP=12cm

AB=20 cm

CP=16 cm

The problem can be solved using the concept of Power of a Point. When two Chords intersect each other inside a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

If two chords AB and CD intersect at point P, then:

​$$AP \times PB = CP \times PD$$​​

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