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Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?

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10.5 Segment Lengths in Circles

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

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Solve for x. 12 9 x18

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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

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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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Solve for x. 10 11 10 11 x 12 x 12

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Find length of x. Find the length of g. 3x 7 5 15 8 g

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A little bit of everything! Find the measures of the missing variables 9 k 10 8 a°a° r 60° 185° Solve for k first. Next solve for r Lastly solve for m a

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external secant segment tangent segment

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