Ch 10 Question: What special properties are found with the parts of a circle?

Today’s Question:How do we find segment lengths in circles?

10.5Segment Lengths in

Circles

Segment Lengths in Circles

Find the lengths of segments of chords

Find the lengths of segments of tangents and secants

Solve for x.Solve for x.

1212

99

xx

1818

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

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

Solve for x.Solve for x.

1010

1

1

11

x

x

12

12

• Find length of x.• Find the length of g.

3 x

7

5

15

8

g

A little bit of everything!• Find the measures of the missing variables

9

k

10

8

a°r

60°

185°

Solve for k first.

Next solve for r

Lastly solve for ma