Two chords AB and CD of a circle meet at a point P outside the circle. It is given that AP = 6 cm, BP = 3 cm, and CP = 4 cm. Find the length of PD.
Show answer & explanation
Correct answer: C
Explanation
Given:
AP = 6 cm, BP = 3 cm, CP = 4 cm
According to the formula:
For an external point: AP × BP = CP × PD
6 × 3 = 4 × PD
18 = 4PD
PD = 18 / 4 = 4.5 cm
PD = 4.5 cm