1. 11.4 Angle Measures and Segment Lengths
Goal 1: To find the measures of angles formed by chords, secants, and tangents
Goal 2: To find the lengths of segments associated with circles
Check Skills You’ll Need
Find the value of x to the nearest tenth. 1. 2. 3.

2. Solutions
17.3
34.6
17.5

3. A secant is a line that intersects a circle at two points
A secant is a line that intersects a circle at two points.    is a secant ray, and    is a secant segment.

4. Theorems
The measure of an angle formed by two lines that
intersect inside a circle is half the sum of the measures of the intercepted arcs.
intersect outside a circle is half the difference of the measures of the intercepted arcs.

7. Theorem

10. Assignment: pp #1-28