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Worksheets

Circles

Total questions: 75

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

The distance around a circle is called the _________.

a)

radius

b)

diameter

c)

circumference

d)

area

2.

The distance between one side of a circle through the center to the other side is the ___________.

a)

circumference

b)

diameter

c)

radius

d)

area

3.

If the diameter of a circle is 18 cm, what is the length of the radius?

a)

9 cm

b)

3 cm

c)

36 cm

d)

6 cm

4.

The radius of a circle is 7 inches. What is the length of the diameter?

a)

3.5 inches

b)

21 inches

c)

10.5 inches

d)

14 inches

5.

If the diameter of a circle is 32 m, what is the radius?

a)

64 m

b)

20 m

c)

16 m

d)

12 m

6.

The radius of a circle = 6.5 mm (very small). What is the diameter of the circle?

a)

3.25 mm

b)

13 mm

c)

26 mm

d)

6.1 mm

7.

TRUE OR FALSE: A radius is longer than a diameter.

a)

TRUE

b)

FALSE

8.
If the diameter of a circle is 10 cm, the radius is 5 cm.
a)
TRUE
b)
FALSE
9.
The line segment between the center and a point on the circle is the 
a)
Radius
b)
Diameter
c)
Chord
d)
Tangent
10.
What is twice as long as a radius
a)
Center
b)
Diameter
c)
Tanget
d)
Arc
11.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
12.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
13.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
14.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
15.
How many degrees in a full circle?
a)
90°
b)
180°
c)
270°
d)
360°
16.
The distance around a circle is the
a)
Diameter
b)
Radius
c)
Circumference
d)
Area
17.

What is m called?

a)

Arc

b)

Segment

c)

Chord

d)

Circumferece

18.
What is the line DE called?
a)
Arc
b)
Segment
c)
Chord
d)
Circumference
19.
What is the diameter?
a)
DE
b)
AO
c)
AB
d)
OC
20.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
21.
If the diameter is 5 cm what is the radius?
a)
2.5 cm
b)
5 cm
c)
10 cm
d)
22.
What is the diameter of this circle?
a)
88 in
b)
28 inches
c)
116 square in
d)
14 inches
23.
What is the name for the "perimeter" of a circle?
a)
Perimeter
b)
Gerald
c)
Circumference
d)
Diameter
24.
How long is the radius of this circle?
a)
4cm
b)
2cm
c)
8cm
d)
16cm
25.
What is true about this circle?
a)
Radius is : DC
b)
Diameter is: BA
c)
Radius is :DE
d)
Diameter is: DC
26.
What is the radius of this circle?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
27.
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
28.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
29.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
30.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
31.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
32.
What is the definition of pi?
a)
The ratio of a circle's circumference to its diameter
b)
The ratio of a circle's radius to its diameter
c)
The ratio of a circle's area to its diameter
d)
The ratio of a circle's circumference to its are
33.
What is the circumference of a circle with a diameter of 9?
a)
81π
b)
c)
d)
34.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
35.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
36.
What is the radius?
a)
18
b)
72
c)
38
d)
14
37.
What is the circumference of a circle with a diameter of 10 meters?
a)
5 meters
b)
15.7 meters
c)
3.14 meters
d)
31.4 meters
38.
The space contained inside of a circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
39.
If you multiply π × d then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
40.
If you multiply π × r × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
41.
If you multiply 2 × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
42.
If you multiply ½ × d  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
43.
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.
44.
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.
45.
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.
46.
If a circle has a radius of 5 ft. then which formula below is correct for the circumference?
a)
π(5)
b)
π(10)
c)
π(5)(5)
d)
π(10)(10)
47.

Line segment OA is a:

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

e)

Diameter

48.

Line segment TS is a:

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

e)

Diameter

49.
What is the circumference?
a)
36
b)
18π
c)
108π
d)
36π
50.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 15 π
51.
What formula is this used for:
πd
a)
Area
b)
Circumference 
c)
Surface Area
d)
Volume 
52.
What formula is this used for:
πr²
a)
Circumference 
b)
Area
c)
Surface Area
d)
Volume
53.
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
54.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)
Segment
55.
1)  Which of the following lines are considered the radii? Only one correct answer. 
a)
PR
b)
PT
c)
QS
d)
RS
56.

What is the circumference of a circle with a radius of 5 in terms of π ?

a)

5 π units

b)

10 π units

c)

25 π units

d)

50 π units

57.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
58.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m2

b)

29.55 m2

c)

30.36 m2

d)

50.27 m2

59.
If the problem ask you to find the distance around a circle, which formula should you use?
a)
r = 1/2d
b)
d = 2r
c)
C = πd
d)
A = πr²
60.
If the word problem is asking you to find the space inside the circle, which formula should you use?
a)
r = 1/2d
b)
d = 2r
c)
C = πd
d)
A = πr²
61.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
62.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
63.
If the radius of a circle is 12.5 meters, the diameter is ____
a)
6.25 meters
b)
125 meters
c)
25 meters
d)
50 meters
64.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
65.
What is the area of a circle with a diameter of 10 cm ?
a)
31.4 cm²
b)
78.5 cm²
c)
15.7 cm²
d)
314 cm²
66.
What is the area of a circle with a radius of 21 cm?
a)
1384.74 cm2
b)
2142.12 cm2
c)
4348.08 cm2
d)
1289.12 cm2
67.
What is the area of this circle?
a)
50.27
b)
78.23
c)
98.12
d)
201.06
68.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
69.
What is the radius of this circle?
a)
12
b)
6
c)
24
70.
If the radius of a circle is 4 in, what is the diameter?
a)
2 in
b)
8 in
c)
12 in
d)
24 in
71.
What is CB?
a)
diameter
b)
center
c)
circumference
d)
radius
72.
Name a chord.
a)
Segment XC
b)
Segment KM
c)
Segment HJ
d)
LINE BD
73.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
74.
Which BEST describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
75.
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 the diameter plus 2