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Worksheets

CIRCLES

Total questions: 70

Worksheet time: 3hrs 46mins

Name
Class
Date
1.
The distance from the center of the circle to any point on the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
2.
The distance across the circle through the center is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
3.
The distance all the way around the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
4.
If you multiply π × d then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
5.
If you multiply π × r × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
6.
If you multiply 2 × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
7.
If you multiply ½ × d  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
8.
If a circle has a radius of 10 ft. then which statement is true?
a)
The radius is 5 ft. 
b)
 The diameter is 5 ft
c)
The radius is 20 ft.
d)
The diameter is 20 ft.
9.
If a circle has a diameter of 10 ft. then which statement is true?
a)
The radius is 5 ft. 
b)
 The diameter is 5 ft
c)
The radius is 20 ft.
d)
The diameter is 20 ft.
10.
If a circle has a diameter of 16 ft. then which statement is true?
a)
The radius is 8 ft. 
b)
 The diameter is 8 ft
c)
The radius is 32 ft.
d)
The diameter is 32 ft.
11.
If a circle has a radius of 16 ft. then which statement is true?
a)
The radius is 8 ft. 
b)
 The diameter is 8 ft
c)
The radius is 32 ft.
d)
The diameter is 32 ft.
12.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
13.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
14.
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
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.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
18.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
19.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

20.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

21.
What is the formal definition of pi? 
a)
The ratio of a circle's circumference to  its diameter
b)
3.14159
c)
The radius of a unit circle
d)
The ratio of a circles diameter to its area
22.
If a circle has a radius of 10 ft. then which statement is true?
a)
The radius is 5 ft. 
b)
 The diameter is 5 ft
c)
The radius is 20 ft.
d)
The diameter is 20 ft.
23.
If a circle has a diameter of 10 ft. then which statement is true?
a)
The radius is 5 ft. 
b)
 The diameter is 5 ft
c)
The radius is 20 ft.
d)
The diameter is 20 ft.
24.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
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.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
27.
What is the area of a circle,if its radius is 2 cm? (use pi=3.14)?
a)
6.28 cm2
b)
12.56cm2
c)
3.14 cm2
d)
none
28.
the distance between two points on the circle
a)
pi
b)
diameter
c)
radius
d)
arc
29.
A straight line that connects any two points on the circle
a)
arc
b)
diameter
c)
chord
d)
radius
30.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
31.

What is the definition of a circle

a)

A set of all points that are the same distance from one point

b)

All points that are the same distance from any point nearby

c)

A round shape that contains empty space

d)

A round 3D shape

32.

What is the diameter of a circle?

a)

The distance around a circle

b)

The length from one point on the edge of a circle to any point

c)

The distance from the center to any point on the circle

d)

The distance across a circle, through it's center

33.

What is the radius of a circle?

a)

The distance around the circle

b)

The distance across the circle through it's center

c)

The distance from the center to any point on the circle

d)

The distance from one point on the edge to one other point

34.

What is the diameter of a circle with a radius of 5 cm?

a)

2.5 cm

b)

25 cm

c)

5 cm

d)

10 cm

35.

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

a)

about 31.4 square cm

b)

about 314 square cm

c)

about 100 square cm

d)

about 50 square cm

36.
This is a picture of ___________.
a)
Major Arc
b)
Minor Arc
c)
Central Angle
d)
Inscribed Angle
37.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
38.
A line that passes through the circle.
a)
chord
b)
radius
c)
secant
d)
tangent
39.
How many chords?
a)
1
b)
2
c)
3
d)
none
40.
A minor arc measures more than 180 degrees.
a)
True
b)
False
41.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

42.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

43.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c2

d)

c = π 2 r

44.

what is the formula for finding radius

a)

c = π d

b)

c = 2 π r

c)

d = r/2

d)

r = d/2

45.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

40 ft

46.

Which is the correct formula for the area of a circle?

a)

A = π r2

b)

A = 2π r2

c)

A=πd

d)

A=π d2

47.

Which formulas can be used to find the circumference of a circle?

a)

C = π r2

b)

C = 2π r

c)

C = π d

d)

C = 2πd

48.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
49.
Name the tangent line. 
a)
s
b)
WR
c)
VT
d)
QR
50.
A tangent line intersecting with a radius always creates a ____________ angle
a)
right
b)
acute
c)
obtuse
d)
straight
51.

The Diameter is

(a)  

52.

Radius is

(a)  

53.

Find the Circumference of the pizza (Select all that apply)

a)

C = 7 π\pi

b)

C = 14 π\pi

c)

C = 43.96

d)

C = 21.98

54.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
55.
What is the measure of the angle formed between the hands of the clock?
a)
30
b)
90
c)
120
d)
150
56.
Name a chord.
a)
Segment XC
b)
Segment KM
c)
Segment FG
d)
LINE BD
57.
Name a Secant.
a)
DE
b)
EA
c)
CB
d)
AB
58.
The distance around a circle
a)
Diameter
b)
Radius
c)
Circumference
d)
Area
59.
Name a Tangent
a)
Segment AG
b)
Line AG
c)
Line DE
d)
Segment
60.
a)
Arc
b)
Sector
c)
Segment
d)
Circumference
61.
a)
A point of tangency
b)
A tangent
c)
A center
d)
Outside of circle C
62.
A segment whose endpoints are on the circle that passes through the center of the circle
a)
radius
b)
circumference
c)
diameter
d)
chord
63.
An arc is...
a)
A line that passes through the center and goes from edge to edge.
b)
A part of the circumference.
c)
A boat.
d)
A line that touches the circle once.
64.
A tangent line of a circle is...
a)
It's diameter
b)
It's radius
c)
It's circumference
d)
A line that touches the circle only once
65.
How many degrees are in a semicircle?
a)
90
b)
180
c)
270
d)
360
66.
An angle whose vertex is the center of a circle is a(n) ______.
a)
inscribed angle
b)
acute angle
c)
obtuse angle
d)
central angle
67.
This is a picture of ___________.
a)
Major Arc
b)
Minor Arc
c)
Central Angle
d)
Inscribed Angle
68.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
69.
This is a picture of ___________.
a)
Major Arc
b)
Minor Arc
c)
Central Angle
d)
Inscribed Angle
70.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle