### Home > INT2 > Chapter 11 > Lesson 11.2.1 > Problem 11-48

Examine the diagrams below. For each one, use the geometric relationships to solve for the given variable.

is tangent to at and

. What is ?

radius

units

Draw a diagram to help visualize the problem. Right triangle, C,P,R, horizontal leg, P R, labeled, 5, vertical leg, C P, labeled, r, angle, C, labeled theta. hypotenuse, C P, labeled, R, +, x. Point on side, C R, labeled, Q, & segment, Q R, labeled, x.

Added to the triangle, angle c, labeled, 46 degrees.

Draw a diagram to help visualize the problem. Added to circle, segments from the center, to the end points of the chord, with dashed segment from center, perpendicular to the chord, creating 2 right triangles. Each radii labeled, 7 units, each central angle for the right angles, labeled theta.

Angles labeled theta, changed to label, 51 degrees.

units