1. Warmup
Find x.
1) )

2. Segment Lengths in Circles

3. Go down the chord and multiply
Two chords intersect
INSIDE the circle
part
part
part
Go down the chord and multiply
part
Emphasize that the chords are NOT congruent or bisected!

4. 9. Solve for x. 9 6 x 2
x = 3

5. 10. Find the length of DB. 8 12 2x 3x A D
x = 4,-4 C
DB = 20 B

6. *Sometimes you have to add to get the whole.
Two secants intersect
OUTSIDE the circle
*Sometimes you have to add to get the whole.

7. Solve for x. 20
x = 31 7 4 x 7
(20) =
(4 + x) 4
140 = x
124 = 4x

8. x = 11.8 Solve for x. x 5 8 6 6 (6 + 8) = 5 (5 + x) 84 = 25 + 5x

9. x = 6, -16 Solve for x. x (x + 10) = 8 (8 + 4) x2 +10x = 96 10
x-6=0 and x+16=0

10. Secant and Tangent

11. X=2, -18 Solve for x. 62 = x (16 + x) 36 = 16x + x2 0 = x2+16x-36

12. Solve for x. 5 15 x
x = 10,-10 x2 = 5
(5 + 15)
x2 = 100