Chapter 9.2, Problem 5WE

To determine

To calculate:The value of PD.

Answer to Problem 5WE

  $8.2$

Explanation of Solution

Calculation:

  

Consider circle I:

In the given figure, AP and BP are given as the tangents to the circle.

Use the fact thatif $BP,AP$ are tangents to a circle from an external point to a circle then $BP=AP$ ,

  $BP=AP=8.2$

Consider circle II:

CP and BP are tangents to the circle.

As it is known that tangents drawn from any point external to the circle onto the same circle are equal,

  $CP=BP=8.2$

Consider circle III:

PD and PC are tangents to the circle.

As tangents drawn from an external point to a circle are equal,

  $PD=PC=8.2$