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Published byMiguel Palmer Modified over 3 years ago

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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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If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.

If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.

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