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LESSON F: Segment Lengths in Circles

LESSON F: Segment Lengths in Circles. During this lesson, you will find the lengths of segments of chords, tangents and secants in circles. PART I : FINDING THE LENGTHS OF SEGMENTS OF CHORDS. segments of a chord.

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LESSON F: Segment Lengths in Circles

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  1. LESSON F: Segment Lengths in Circles During this lesson, you will find the lengths of segments of chords, tangents and secants in circles.

  2. PART I: FINDING THE LENGTHS OF SEGMENTS OF CHORDS 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:

  3. RQ *XP = SR * RT x = 2 9 *x = 3 * 6 9x = 18

  4. PART II:USING SEGMENTS OF TANGENTS AND SECANTS

  5. THEOREM

  6. RP * RQ = RS * ST X = 8 9 * 20 = 10* ( X +10) 180 = 10X + 100 80 = 10X

  7. Example 4 Finding Segment Lengths (CB)2 = CE * (2r + 8) (20)2 = 8 * (2r + 8) 400 = 16r + 64 336 = 16r 21 ≈ r

  8. 12;15; 50 x + 8; 4 15,: 18: 12 2; 6 9;6 x + 3; x2; 1

  9. Homework Assignment: Segment Lengths WS

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