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Warm-up Find the measures of angles 1 – 4.

Warm-up Find the measures of angles 1 – 4. 52.5 . 4. 32 . 2. 3. 105 . 36.5 . 1. 105 . 16 . Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find segment lengths in circles?

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Warm-up Find the measures of angles 1 – 4.

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  1. Warm-up Find the measures of angles 1 – 4. 52.5 4 32 2 3 105 36.5 1 105 16

  2. Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find segment lengths in circles? Standard: MM2G3.b

  3. 6.6 Segment Lengths in Circles

  4. 6.6 Segment Lengths in Circles • Find the lengths of segments of chords • Find the lengths of segments of tangents and secants

  5. Two secants intersect OUTSIDE the circle Type 2: E A B C D EA•EB = EC•ED

  6. Ex: 3 Solve for x. B 13 A 7 E 4 C x D 7 (7 + 13) = 4 (4 + x) x = 31 140 = 16 + 4x 124 = 4x

  7. Ex: 4 Solve for x. B x A 5 D 8 6 C E 6 (6 + 8) = 5 (5 + x) 84 = 25 + 5x x = 11.8 59 = 5x

  8. Type 2 (with a twist): Secant and Tangent C B E A EA2= EB • EC

  9. Ex: 5 Solve for x. C B x 12 E 24 A (12 + x) 242 = 12 x = 36 576 = 144 + 12x

  10. Ex: 6 5 B E 15 C x A (5 + 15) x2 = 5 x2 = 100 x = 10

  11. Class Work Textbook – p. 220 #7-20, 23, 24 p. 222 #1-3, 5-7, 11

  12. Homework Workbook p. 231 #4-9; p. 232-233 #13-19, 21, 23, 24

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