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Exploring Circles

Total questions: 89

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

2.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

3.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

4.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

5.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

6.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

7.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

8.

find the radius of the circle

a)

3 m

b)

1.5 m

c)

1.5

d)

1.5 mm

9.

find the diameter of the circle

a)

1 ft

b)

4 ft

c)

4 mm

d)

2 ft

10.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

11.

what is the radius of the inner circle?

a)

12 in

b)

8 in

c)

8 ft

d)

4 in

12.

what is the diameter of the inner circle

a)

16 in

b)

12 in

c)

4 in

d)

8 ft

13.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

14.

What is the radius?

a)

18

b)

72

c)

38

d)

14

15.

The distance all the way around the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

16.

The space contained inside of a circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

17.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
18.

Half of the diameter is called the

a)

pi

b)

radius

c)

circumference

d)

area

19.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
20.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
21.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
22.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
23.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
24.
The _____________ of a circle is two times the radius. 
a)
chord
b)
diameter
c)
circumference 
25.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)
Segment
26.
The radius of a circular swimming pool is 6.1 meters. Which is closest to the circumference of this swimming pool?
a)
19.48 m
b)
74.42 m
c)
38.33 m
d)
116.90 m
27.
The diameter of a circular table is 16 feet. Which of the following represents the number of feet it would take to go around the tabletop?
a)
π⋅162
b)
π⋅16
c)
2⋅π⋅16
d)
π⋅82
28.
The London Eye has a diameter of 120 meters. If you are sitting in one of the capsules, about how far do you travel in one rotation of the Ferris wheel?
a)
180 meters
b)
380 meters
c)
11,300 meters
d)
125 meters
29.
I want to find out how long I need my string lights to be to decorate my bike. The radius of a tire is 13 inches. How much lighting do I need to decorate both tires?
a)
82 inches
b)
164 inches
c)
530 inches
d)
41 inches
30.
Radius 6 cm
What is the diameter? 
a)
36 cm
b)
12 cm
c)
6 cm
d)
3 cm 
31.
Diameter 32 inches
What is the radius?
a)
16 inches
b)
64 inches
c)
96 inches
96 inches
d)
16 ft 
32.
What formula is used to find the space 
"inside" a flat object?
a)
Circumference 
b)
Surface Area
c)
Area
d)
Volume
33.
What formula is used to find the distance around a circle?
a)
Area
b)
Surface area
c)
Circumference
d)
Volume
34.
Radius 5 in
Find the area of the circle.
a)
15.7 inches²
b)
31.4 inches²
c)
314 inches²
d)
78.5 inches²
35.
Diameter 14 inches
Find the area of a circle.
a)
615.44 in²
b)
153.86 in²
c)
43.96 in²
d)
87.92 in²
36.
Radius 4 inches
Find the circumference of the circle. 
a)
25.12 in
b)
12.56 in
c)
50.24 in
d)
200.96 in
37.
Diameter 13.5 in
Find the circumference of the circle.
a)
84.79 in
b)
42.39 in
c)
21.195 in
d)
572.265 in 
38.
A bicycle tire has a diameter of 20 inches. How many inches is one full revolution of the wheel?  
a)
31.4 in
b)
1256 in
c)
125.6 in
d)
62.8 in
39.
Ray wants to build a fence around his circular garden outside. The garden has a radius of 6 ft. How many feet of fencing does he need?
a)
37.68 ft
b)
18.84 ft
c)
113.04 ft
d)
452.16 ft
40.
Trevor is making a tablecloth for a circular table with a diameter of 40 inches. How many inches of tablecloth does he need? 
a)
125.6 in²
b)
251.2 in²
c)
1256 ft²
d)
1256 in²
41.
Other than the formula C=πd what is another formula for circumference of a circle?
a)
C=2π
b)
C=2πr
c)
C=πr²
d)
C=πd²
42.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
43.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m 
44.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
45.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
46.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m 
b)
9.42 m
c)
12 m
d)
18.84 m
47.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
48.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
49.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
50.

Find the area of a circle if you are given a diameter of 2.5 inches. Use 3.14 for π and round to the nearest tenths place

a)

5 inches2

b)

4.8 inches2

c)

4.89 inches2

d)

4.9 inches2

51.
The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?
a)
area
b)
circumference
c)
neither
52.
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)
53.
The diameter of Carol's old records from the 80s is 12 inches. Which equation would help you determine the area?
a)
A = 12π
b)
A = 2π12
c)
A = π(12²)
d)
A = π(6²)
54.

In words, describe this formula

a)

The area of a circle is equal to pi times the radius squared

b)

The circumference of a circle is equal to the pi times the diameter.

c)

The circumference of a circle is equal to pi times the radius squared

d)

The area of a circle is equal to pi times the diameter

55.

Choose the answer which best describes how these formulas are related to each other.

a)

They both solve for circumference. In the first formula it uses diameter, in the second formula it uses two times the radius, which is the same thing as diameter.

b)

They both solve for circumference, in the first uses diameter and the second uses pi.

c)

They both solve for area. In the first formula it uses diameter, in the second formula it uses two times the radius, which is the same thing as diameter.

d)

They both use circumference to solve for pi. One uses radius, the other uses diameter.

56.

Find Circumference. Leave answer in terms of pi (π).

a)

36π

b)

9π

c)

4.5π

d)

18π

57.

Find Circumference. Leave answer in terms of pi (π)

a)

36π

b)

12π

c)

6π

d)

24π

58.

What is the area of a circle?

a)

halfway through a circle

b)

a line through the center of a circle

c)

the amount of space inside of the circle

d)

the distance around a circle

59.

What is the formula for areaof a circle given the radius?

a)

A = πr

b)

A = 2πr

c)

A = πd

d)

A = πr²

60.

In order to find area of a circle, you have to ______________

a)

Square the radius

b)

add the radius

c)

divide the radius

d)

Not sure:((

61.

What does A represent in the formula:

A = π·r2

a)

Area

b)

Radius

c)

Pi

d)

Diameter

62.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

63.

Find the area of the circle, leaving your answer in terms of π

a)

121π cm2

b)

22π cm2

c)

484π cm2

d)

121π m2

64.

Find the area of the circle, leaving your answer in terms of π

a)

64π cm2

b)

8π cm2

c)

16π cm2

d)

32π cm2

65.
What is the circumference of a circle with a radius of 5 in terms of π ?
a)
5 π square units
b)
10 π square units
c)
25 π square units
d)
50 π square units
66.
A Circle has a radius of 4.  What is the circumference of the circle? (Best Choice)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
67.
What is the formula for area of a circle given the radius?
a)
A = πr
b)
A = 2πr
c)
A = πd
d)
A = πr²
68.

A circle has an area of 36π. What is the circumference of the circle?

a)

18π

b)

12π

c)

6π

d)

36π

69.

What is line CB called?

a)

Circumference

b)

Diameter

c)

Radius

d)

Chord

70.

What is line AD called?

a)

Area

b)

Circumference

c)

Radius

d)

Diameter

71.

What is this symbol called?

a)

pi

b)

sigma

c)

radius

d)

omega

72.

What is the approximate numerical value of this sign?

a)

3.11

b)

3.14

c)

4.13

d)

6.28

73.
What is the formula for area of a circle?
a)
A = pi x D
b)
A = 2pi x r
c)
A = pi x r²
d)
A = pi x d²
74.
What is the area of this circle?
a)
16π
b)
8π
c)
4π
d)
16π²
75.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
76.
About how many steps is the walk around the circular sidewalk?
a)
150 steps
b)
120 steps
c)
300 steps
d)
225 steps
77.
Find the circumference, in "in terms of pi" of a circle with a DIAMETER of 8 inches.
a)
4π inches
b)
8π inches
c)
16π inches
d)
64π inches
78.
Find the circumference, in "in terms of pi" of a circle with a RADIUS of 22 inches.
a)
11π inches
b)
22π inches
c)
44π inches
d)
484π inches
79.
Find the circumference, in "in terms of pi" of a circle with a RADIUS of 8 inches.
a)
8π inches
b)
64π inches
c)
4π inches
d)
16π inches
80.
Find the area, in "in terms of pi" of a circle with a RADIUS of 8 inches.
a)
8π inches2
b)
64π inches2
c)
4π inches2
d)
16π inches2
81.
Find the area, in "in terms of pi" of a circle with a RADIUS of 11 inches.
a)
11π inches2
b)
22π inches2
c)
44π inches2
d)
121π inches2
82.
Find the area, in "in terms of pi" of a circle with a diameter of 8 inches.
a)
8π inches2
b)
64π inches2
c)
4π inches2
d)
16π inches2
83.
Say 'TRUE' or 'FALSE'
If areas of two circles are equal, then their circumferences are also equal
a)
TRUE
b)
FALSE
84.
Say 'TRUE' or 'FALSE'
The distance traveled by a circular wheel of diameter d cm in one revolution is 2πd cm
a)
TRUE
b)
FALSE
85.

The perimeter of square circumscribing circle of radius 'a' cm is

a)

8a cm

b)

6a cm

c)

10a cm

d)

16a cm

86.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft2

b)

4.5 ft2

c)

6.3 ft2

d)

7.1 ft2

87.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
88.
Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?
a)
31.4 in2
b)
314 in2
c)
157 in2
d)
628 in2
89.

Find the area of the quarter circle. Round you answer to the nearest hundredth.

a)

58.88

b)

78.50

c)

7.85

d)

157.00

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