Warmup Find x. 1) 2)

Segment Lengths in Circles

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

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 Solve for x. 10 x 4 8 x (x + 10) = 8 (8 + 4) x2 +10x = 96

Secant and Tangent

x = 36 Solve for x. 242 = 12 (12 + x) 576 = 144 + 12x 432 = 12x x 12

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

Practice Worksheet

Homework Worksheet