1. 10.6 Segment Lengths in Circles
5/11/10

2. Finding the Lengths of Chords
When two chords intersect in the interior of a circle, each chord is divided into two segments which are called segments of a chord.

3. Theorem 10.14
EA • EB = EC • ED

4. Ex. 1: Finding Segment Lengths
Chords ST and PQ intersect inside the circle. Find the value of x.

5. Tangents and Secants
In the figure shown, PS is called a tangent segment because it is tangent to the circle at an end point.

6. Theorem 10.15
EA • EB = EC • ED

7. Theorem 10.16
(EA)2 = EC • ED

8. Ex. 2: Finding Segment Lengths
Find the value of x.

9. Example 3 Find the value of x.

10. Example 4 Find the value of x.

11. Example 5 Find the value of x.

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