Chapter 9.7, Problem 6CE

To determine

To find: find the value of x from the figure

Answer to Problem 6CE

The value of x is 4

Explanation of Solution

Given information: we have given the figure of circle

  

Here, we can see length in the figure

Total length of secant is 8

Using tangent secant theorem

  $\begin{array}{c}8\times 2=x^2\\ x^2=16\\ x=\sqrt{16}\\ x=4\end{array}$

Since length cannot be negative

Therefore, the value of x in the figure is 4