Segment Lengths in Circles

Go down the chord and multiply Two chords intersect INSIDE the circle Type 1: 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 Type 2: 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

Type 2 (with a twist): 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