Chapter 15, Problem 6CR

To determine

To Find: The value of required variable in the given figure.

Answer to Problem 6CR

  $x=3$

Explanation of Solution

Given:

  

Formula Used:

Chord-Chord Power Theorem: It states that the product of length of intersecting chord of a circle is equal to each other.

  $\text{Pythagoras Theorem}:h^2=b^2+p^2$

Calculation:

  $\begin{array}{l}4\times 6=8\times x\\ \text{⇒}8x=24\\ \text{⇒}x=\frac{24}{8}\\ \text{⇒}x=3\end{array}$

Conclusion:

Thus the required length of segment is $x=3$ .