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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
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

slide2

Circumference

6.7

Arc Length

circumference

Circumference

Circumference

The distance around a circle

find the circumference to the nearest tenth

1.

2.

Find the circumference to the nearest tenth.

33 m

14.3 in.

C = 89.8 in

C = 103.7 m

circumference1

Exact Measure

Circumference

EX: What is the exact measure of the circumference?

Writing your answer in terms of π

14.3 in.

on your own what is the exact measure of the circumference
ON YOUR OWN:

What is the exact measure of the circumference?

33 m

slide8
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

slide9
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
GUIDED PRACTICE

26.9

Simplify (Round to the nearest tenth):

1.

2.

3.

6.3

23.6

arc length

Arc Length

piece

portion

a fraction of the circumference of a circle

part

section

arc length corollary

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 practice1
Guided Practice

Complete How Do You Find Arc Length?

example 1

A

Example 1

90º

B

15 ft

Find the length of arc AB to the nearest hundredth.

A  23.55 ft

example 2

Example 2

A

40º

B

6 m

Find the length of arc AB to the nearest hundredth.

A  4.19 m

example 3

A

18.84 m

Example 3

B

9 m

Find the measure of arc AB to the nearest degree.

mAB = 120º

example 4

A

Example 4

1.57 ft

45º

B

N

Find the radius of circle N to the nearest foot.

r ≈2 ft

example 5

A

Example 5

41.87 cm

Q

200º

B

Find the circumference of circle Q.

C ≈75.37 cm

homework
Homework

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

Show ALL Work for Credit!!