11.4 Angle Measures and Segment Lengths

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Presentation transcript:

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.

Solutions 17.3 34.6 17.5

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.

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.

Theorem

Assignment: pp. 611-12 #1-28