### Home > GC > Chapter 11 > Lesson 11.2.3 > Problem11-102

11-102.

Solve for the variables in each of the diagrams below. Assume that point $C$ is the center of the circle in part (b).

1. $\tan^2=\text{ext. secant segment}$
(ext. sec. seg. + int. sec. seg.)
$y^2 = 4(4 + 18)$

and

$28=\frac{x-61}{2}$

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

$\sin25º = \frac{5}{r}$

$r ≈ 11.83$

1. Draw two intersecting chords, which will create two congruent triangles.

$\frac{a+9}{8}=\frac{21}{9}$