Chapter 13.2, Problem 37SPR

To determine

To find: the value of distance $x$ and round off to nearest tenth if necessary.

Answer to Problem 37SPR

The value of $x$ is $4.5$ .

Explanation of Solution

Given:

  

Concept used:

If two chords intersect in a circle, then the products of the lengths of the chord segments are equal. 

  

  $a\times b=c\times d$ .

Calculation:

If two chords intersect in a circle, then the products of the lengths of the chord segments are equal. 

  $\begin{array}{l}x\left(8\right)=4\left(9\right).\\ 8x=36.\\ x=\mathrm{4.5.}\end{array}$

Hence, the value of $x$ is $4.5$ .