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

2. 10.5 Segment Lengths in Circles

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

5. Solve for x. 12 9 x18

6. EAB C D EA EB = EC ED

7. 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

8. 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

9. E A B C EA 2 = EB EC

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

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

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

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

14. 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