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74° 38° x° For each circle, find the measure of x. 1. 2. 3.

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

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

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a b c d ab = cd

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9 2 6 x x = 3 3 2 12 y y = 8 3 26 z z = 1 Ex: 1 Solve for x.

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Ex: 2 Solve for x. 8 12 2x 3x 2x 3x = 12 8 6x 2 = 96 x 2 = 16 x = 4

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EAB C D EA EB = EC ED

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

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

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E A B C EA 2 = EB EC

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E A B C 24 12 x 24 2 =12 (12 + x) 576 = 144 + 12x x = 36 Ex: 5 Solve for x.

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E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Ex: 6

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