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# Warm-UP - PowerPoint PPT Presentation

Warm-UP. 14 cm. Find the diameter or radius: a. r = 7 cm; d = ░ b. d = 5 in; r = ░ c. r = 4.2 ft; d = ░ Simplify (round to the nearest tenth) : a. π• 20= b. 2 • π• 7=. 2.5 in. 8.4 ft. 62.8. 44.0. Circumference 6.7 Arc Length. Circumference. Circumference.

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Presentation Transcript
Warm-UP

14 cm

• Find the diameter or radius:

a. r = 7 cm; d = ░

b. d = 5 in; r = ░

c. r = 4.2 ft; d = ░

• Simplify (round to the nearest tenth):

a. π•20=

b. 2•π•7=

2.5 in

8.4 ft

62.8

44.0

Circumference

6.7

Arc Length

Circumference

### Circumference

The distance around a circle

1.

2.

33 m

14.3 in.

C = 89.8 in

C = 103.7 m

Exact Measure

### Circumference

EX: What is the exact measure of the circumference?

14.3 in.

What is the exact measure of the circumference?

33 m

3. The circumference of a half dollar is about 96 millimeters. Find the diameter of the coin to the nearest tenth.

d ≈ 30.6 mm

4. A circular flower garden has a circumference of 20 feet. Find the radius of the garden to the nearest hundredth.

r ≈ 3.18 ft

GUIDED PRACTICE

26.9

Simplify (Round to the nearest tenth):

1.

2.

3.

6.3

23.6

### Arc Length

piece

portion

a fraction of the circumference of a circle

part

section

### Arc Length Corollary

the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360º

*

*

Guided Practice

Complete How Do You Find Arc Length?

A

### Example 1

90º

B

15 ft

Find the length of arc AB to the nearest hundredth.

A  23.55 ft

### Example 2

A

40º

B

6 m

Find the length of arc AB to the nearest hundredth.

A  4.19 m

A

18.84 m

### Example 3

B

9 m

Find the measure of arc AB to the nearest degree.

mAB = 120º

A

### Example 4

1.57 ft

45º

B

N

Find the radius of circle N to the nearest foot.

r ≈2 ft

A

### Example 5

41.87 cm

Q

200º

B

Find the circumference of circle Q.

C ≈75.37 cm

Homework

p. 226 (1-10, 17-19)

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