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LESSON F: Segment Lengths in Circles

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LESSON F: Segment Lengths in Circles

During this lesson, you will find the lengths of segments of chords, tangents and secants in circles.

segments of a chord

When two chords intersect in the interior of a circle, each chord is divided into two segments which are called______________________.

.

Name two segments of each chord in the diagram below:

RQ *XP = SR * RT

x = 2

9 *x = 3 * 6

9x = 18

THEOREM

RP * RQ = RS * ST

X = 8

9 * 20 = 10* ( X +10)

180 = 10X + 100

80 = 10X

Example 4 Finding Segment Lengths

(CB)2 = CE * (2r + 8)

(20)2 = 8 * (2r + 8)

400 = 16r + 64

336 = 16r

21 ≈ r

12;15; 50

x + 8; 4

15,: 18: 12

2; 6

9;6

x + 3; x2; 1

Segment Lengths WS