74° 38° x° For each circle, find the measure of x

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Todays Question: How do we find segment lengths in circles? Standard: MM2G3.b

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

a b c d ab = cd

9 2 6 x x = y y = z z = 1 Ex: 1 Solve for x.

Ex: 2 Solve for x x 3x 2x 3x = x 2 = 96 x 2 = 16 x = 4

EAB C D EA EB = EC ED

E A B C D x 7(7 + 13) 4(4 + x) = Ex: 3 Solve for x. 140 = x 124 = 4x x = 31

E A B C D x 6(6 + 8) 5(5 + x) = Ex: 4 Solve for x. 84 = x 59 = 5x x = 11.8

E A B C EA 2 = EB EC

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

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