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Area and Circumference of Circles

Total questions: 58

Worksheet time: 2hrs 54mins

Name
Class
Date
1.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
2.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
3.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
4.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
5.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
6.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
7.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
8.
Enrique purchases an antique bowl for his mom for Mother's Day. The diameter of the bowl is 18 cm. What is the circumference of the bowl? (Round to the nearest whole number.)
a)
28 cm
b)
57 cm
c)
254 cm
d)
1017 cm
9.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
10.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
11.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
12.

Find the area of the circle

a)

21.98 units2

b)

153.86 units2

c)

87.82 units2

d)

615.44 units2

13.

What is the area of a circle with the diameter of 10 cm ?

a)

66 cm2

b)

78.5 cm2

c)

66.5 cm2

d)

314 cm2

14.

If the circumference of a circle is 69.08 ft, what is the DIAMETER?

a)

22 ft

b)

11 ft

c)

π ft

d)

0 ft

15.

If the circumference of a circle is 138.16 ft, what is the RADIUS?

a)

22 ft

b)

11ft

c)

π ft

d)

no ft

16.
What is the formula for finding the circumstance of a circle with just the diameter?
a)
 π*d
b)
b*h
c)
l*w*h
d)
I do not know
17.
What is the formula for finding the circumstance for a circle with just the radius?
a)
 2*π*r
b)
1/2 b*h
c)
a+b/2*h
d)
I do not know
18.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
19.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
20.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
21.
If you multiply ½ × d  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
22.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
23.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
24.
3 less than a number
a)
n − 3
b)
3 − n
c)
−3n − 3
d)
n + 3
25.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
c = 2π15
c)
c = π(15²)
d)
c = π(7.5²)
26.
Find the area of the circle below.
a)
113.04 cm units²
b)
18.84 cm units²
c)
9 cm units²
d)
28.26 cm units²
27.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
28.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
29.
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring (round to the hundreth's place)?
a)
9.25 cm2
b)
9.62 cm2
c)
9.15 cm2
d)
9.99 cm2
30.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
31.
A minute hand (radius) of a clock is 13.8 meters long. What is the circumference of the clock?
a)
86.66 meters
b)
76.66 meters
c)
66.66 meters
d)
96.66 meters
32.

Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost?

a)

$5.30

b)

$7.00

c)

$3.50

d)

$0.50

33.
Your Geometry teacher rents a fast car for the weekend. Her friend, a Physics teacher, uses a stopwatch to time how long it takes your teacher to make one complete revolution about the track. Is this question circumference or area?
a)
Circumference
b)
Area
34.

A _____ is half of a circle.

a)

circumference

b)

pi

c)

semicircle

d)

composite figure

35.

Daniel wants to buy cookies for his friend. The

radius of a cookie is 5 inches. What is the cookie’s

circumference? Round to the nearest hundredth. Don't forget to label.

(a)  

36.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

(a)  

37.

 The diameter of the face-off circle on an ice-hockey rink is 30 feet. Find its area. (Don't forget to label - square feet, sq feet, sq ft or  ft2ft^2  . 

(a)  

38.

A glass stained window is shaped like a semicircle. The bottom edge of the window is 36 inches long. How much colored glass would you need to cover the stained window? Round to the nearest hundredth. (please label - sq inches or sq in)

(a)  

39.

Montana"s capital city

a)

Butte

b)

Helena

c)

Missoula

d)

Havre

40.

Montana's largest city

a)

Great Falls

b)

Deer Lodge

c)

Billings

d)

Bozeman

41.

State Tree of Montana

a)

Cottonwood

b)

Douglas Fir

c)

Blue Spruce

d)

Ponderosa Pine

42.

This flower is the state flower

a)

Indian Paintbrush

b)

Knapweed

c)

Bitterroot

d)

Buttercup

43.

The two largest rivers in Montana are

a)

Clark Fork and Bitterroot

b)

Yellowstone and Missouri

c)

Judith and Kootenai

d)

Blackfoot and Powder

44.

The pick, shovel and plow represent of the state flag represent

a)

Timber and Farming

b)

Timber and Mining

c)

Mining and Ranching

d)

Mining and Farming

45.

Montana's nickname is

a)

The Great Wide Open

b)

The Great Divide

c)

The Treasure State

d)

The 4th largest state

46.

The __________________ is Montana's state fish

a)

Brown trout

b)

Cutthroat trout

c)

Rainbow trout

d)

Brook trout

47.

The density of the state population is ______people per square mile.

a)

103

b)

702,000

c)

6

d)

43,689

48.

This is the official state bird.

a)

Blue Grouse

b)

Northern Flicker

c)

Western Meadowlark

d)

Redtail Hawk

49.

Montana was the 48th state admitted to the union

a)

True

b)

False

50.

What does this symbol represent?

a)

circle

b)

pi

c)

radius

51.

What number do we round pi to?

a)

3

b)

3.1

c)

314

d)

3.14

52.

When is pi used?

a)

unlock your locker

b)

to find your way home

c)

area of a circle

d)

tangent of a rectangle

53.

Another use for pi?

a)

circumference of a circle

b)

desert after dinner

c)

triangle bisect line

d)

square root

54.
What is the "formal" definition of pi?
a)
22/7
b)
3.1415926
c)
the ratio of a circle's circumference to its diameter
d)
the surface area of a sphere of diameter 22/7
55.
How many digits are in pi?
a)
10 trillion
b)
5 billion 
c)
infinite 
d)
a lot 
56.

What are the first six digits of pi?

a)

314157

b)

3141592

c)

31415

d)

314159

57.

What kind of decimal is pi?

a)

Repeating

b)

Irrational

c)

Terminating

d)

Rational

58.

What is the term "pi" or "π" from?

a)

The Italian Alphabet

b)

The Greek Alphabet

c)

Old Cave Drawings

d)

The Old English Alphabet

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