Question
Download Solution PDFIn the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFTwo chords AB and CD intersect each other at point P.
AB = 18 cm, PB = 6 cm, and CP = 4 cm
Formula used:-
If two chords AB and CD intersect each other at point P inside the circle,
then AP × PB = CP × PD
Calculation:-
AP = AB - PB
⇒ AP = 18 - 6 = 12 cm
According to the formula
AP × PB = CP × PD
⇒ 12 × 6 = 4 × PD
⇒ PD = 72/4
∴ The required answer is 18.
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