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Calculating Segment Lengths in Circles: Chords, Tangents, and Secants

In this lesson, you will learn how to find the segment lengths of chords, tangents, and secants in circles. We will cover the intersection of two chords within a circle and how to break them into segments. You'll practice applying the theorem for segments of tangents and secants using example problems. By the end of this lesson, you will be able to determine segment lengths based on given values and solve related homework assignments with confidence.

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Calculating Segment Lengths in Circles: Chords, Tangents, and Secants

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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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