104°

x°

74° 38°

x°

x°142°

68°

For each circle, find the measure of x.

1. 2.

3.

Math II

UNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2

Today’s 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

bc

d ab = cd

part part = part part

9

2

6xx = 3

3

2

12

y

y = 83

26

z

z = 1

Ex: 1 Solve for x.

Ex: 2 Solve for x.

8

12

2x

3x

2x 3x = 12 8

6x2 = 96x2 = 16

x = 4

E A B

C

D

EA • EB = EC • EDoutside whole = outside whole

EA

B

C

D

713

4

x

7 (7 + 13) 4(4 + x)=

Ex: 3 Solve for x.

140 = 16 + 4x124 = 4x

x = 31

E

A

B

CD 8

5

6

x

6 (6 + 8) 5(5 + x)=

Ex: 4 Solve for x.

84 = 25 + 5x59 = 5x x = 11.8

E

A

B C

EA2 = EB • ECoutside whole = outside whole

E

A

B C

24

12 x

outside whole = outside whole 242 = 12 (12 + x)576 = 144 + 12x x = 36

Ex: 5 Solve for x.

E

A

B

C

15

5

x

outside whole = outside whole x2 = 5 (5 + 15)

x2 = 100

x = 10

Ex: 6