Warmup Find x. 1) 2)

Segment Lengths in Circles

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!

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

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

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

Solve for x. 20 x = 31 7 4 x 7 (20) = (4 + x) 4 140 = 16 + 4x 124 = 4x

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

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

Secant and Tangent

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

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