In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.
A.20 cm
B.22 cm
C.16 cm
D.18 cm✓ Correct
Explanation
By the intersecting chords theorem: AP × PB = CP × PD. AP = AB − PB = 15−9 = 6. So 6×9 = 3×PD, giving PD = 54/3 = 18 cm.
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