10.6 Segment Lengths in Circles

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Presentation transcript:

10.6 Segment Lengths in Circles 5/11/10

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.

Theorem 10.14 EA • EB = EC • ED

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

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

Theorem 10.15 EA • EB = EC • ED

Theorem 10.16 (EA)2 = EC • ED

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

Example 3 Find the value of x.

Example 4 Find the value of x.

Example 5 Find the value of x.

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