Free Printable Sector and Arc Length 2

1.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

2.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

3.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

4.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

5.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

6.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

7.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

8.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

9.

what is the area of this semicircle with a diameter of 8 cm?

a)

100.48cm²

b)

80cm²

c)

200.96cm²

d)

none of the above

10.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

11.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

12.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

13.

Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

14.

Are Koalas Awesome

a)

Yaaaaas!

b)

I am a terrible person for saying No.

c)

Noo!

d)

Nope.

15.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of pacman's body rounded to the nearest whole number?

a)

161 mm²

b)

What's Pacman?

c)

162 mm²

d)

40 mm²

16.

What is circumference?

a)

The distance around a circle

b)

The amount of space inside a circle

c)

The number of degrees around a circle

d)

The space outside a circle

17.

What is the area of the shaded sector (in terms of π)?

a)

60π mm²

b)

120π mm²

c)

124π mm²

d)

150π mm²

18.

What is the area of the shaded sector (rounded to the nearest tenth)?

a)

16.8 cm²

b)

8.4 cm²

c)

50.3 cm²

d)

4.2 cm²

19.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26 units²

b)

452.39 units²

c)

113.10 units²

d)

40,715.04 units²

20.

An arc is a smaller piece of the...

a)

Chord

b)

Center

c)

Circumference

d)

Radius

21.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

22.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

23.

Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)

a)

71 feet

b)

141 feet

c)

84 feet

d)

63 feet

24.

Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm. What is the sector area of the pie her mother does not want?

a)

235.62 cm squared

b)

three fourths of the pie

c)

78.54 cm squared

d)

83.99 cm squared

25.

Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?

a)

28 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

26.

If you add all of the triangles angles together, what do you get?

a)

360 degrees

b)

180 degrees

c)

60 degrees

d)

90 degrees

27.

How many strings does a violin have?

a)

8

b)

4

c)

10

d)

6

28.

In the story of Snow White and the Seven Dwarfs, how did the evil witch poison Snow White?

a)

With an apple

b)

With a doughnut

c)

With a sandwich

d)

With a cake

29.

Which of these fairy tale characters loses a shoe?

a)

Red Rose

b)

Belle

c)

Snow White

d)

Cinderella

30.

How many stepsisters does Cinderella have?

a)

1

b)

2

c)

3

d)

4

31.

Who does Little Red Riding Hood want to visit?

a)

The queen

b)

Her sister

c)

Her aunt

d)

Her grandmother

32.

What time did Cinderella have to be back from the ball?

a)

10:00

b)

11:00

c)

midnight

d)

noon

33.

What woke up Sleeping Beauty?

a)

cold water

b)

someone shook her

c)

true love's kiss

d)

an alarm clock

34.

A fairy tale is about long ago.

a)

True

b)

False

35.

Many fairy tales start with "________________________"

a)

Listen up, boys and girls

b)

Once upon a time

c)

In a land far away

d)

Are you ready?

36.

Which one is correct

a)

Dihn

b)

Dinn

c)

Dinhh

d)

Dinh

e)

Diinh

37.

The address of Turner is

a)

1600 S Josey Lane

b)

1700 Josey Ln

c)

I don't know

d)

16000 Josey Ln

38.

What does Dinh dislike?

a)

Being Tardy

b)

Using cellphone in class

c)

Talking during lesson

d)

Me failing a test

39.

An arc is a smaller piece of the...

a)

Chord

b)

Center

c)

Circumference

d)

Radius

40.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

41.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

42.

What is the ϴ called?

a)

sector

b)

segment

c)

arc

d)

central angle

43.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

44.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

45.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

46.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

47.

What is the circumference of this circle with a diameter of 12cm?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

48.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

49.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

50.

Find the area of the shaded region.

a)

125.7 cm²

b)

40 cm²

c)

103.7 cm²

d)

33 cm²

51.

Which of the following is the state flower of Minnesota?

a)

pink lady slipper

b)

red rose

c)

yellow dandelion

d)

sunflower

52.

Minnesota is the land of ________ lakes?

a)

9,999

b)

500

c)

20,000

d)

10,000

53.

What is the largest country in the world?

a)

Russia

b)

Canada

c)

China

d)

United States

54.

How many squares are there in the chessboard?

a)

62

b)

64

c)

66

d)

68

55.

What is the definition of a sesquipedalianist?

a)

A biker who can ride without their hands on the handles.

b)

A person who uses long and complicated words.

c)

Someone squishy.

d)

Any animal who acts vaguely human-like.

56.

Which planet in our solar system is known for its ring?

a)

Jupiter

b)

Mars

c)

Saturn

d)

Earth

57.

Which Continent does not touch the equator?

a)

Asia

b)

South America

c)

Antactica

d)

Africa

58.

Name the 3rd President of the United States. He was also our first Secretary of State.

a)

John Adams

b)

Abraham Lincoln

c)

Benjamin Franklin

d)

Thomas Jefferson

59.

On a traffic light is the red where is the red light?

a)

middle

b)

top

c)

bottom

d)

there is no red light!

60.

What cereal is this?

a)

Fruit Loops

b)

Lucky Charms

c)

Frosted Flakes

d)

Apple Jacks

61.

What cereal is this?

a)

Cocoa Pebbles

b)

Banana Pudding

c)

Frosted Flakes

d)

Fruity Pebbles

62.

Ursala from "The Little Mermaid" takes the mermaids what for a pair of legs?

a)

Her hair

b)

Her voice

c)

Her Tail

d)

Her neice

63.

Mike, Randall, and Roz are from which Disney/Pixer animated film?

a)

The Fox and the Hound

b)

Monsters, Inc.

c)

A Bug's Life

d)

The Rescuers

64.

What color are the berries on mistletoe?

a)

red

b)

yellow

c)

blue

d)

green

65.

Which was not one of the original reindeer?

a)

Blitzen

b)

Dasher

c)

Donald

d)

Dancer

Sector and Arc Length 2

Total questions: 65

Worksheet time: 5hrs 33mins

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