### Home > INT2 > Chapter 12 > Lesson 12.1.1 > Problem12-9

12-9.

Use circle relationships to solve for the variables in each of the diagrams below.

1. $\overline{AB}$ and $\overline{CD}$ intersect at $E$

$(CE)(ED) = (AE)(EB)$

$(k)(k) = (18)(8)$

1. Point $C$ is the center.

Draw a perpendicular bisector on the chord to the center of the circle, and then create two triangles.

$\text{sin}25° = \frac{5}{r}$

$r ≈ 11.83$