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Pre-assessment 4.1 CIRCLE - Parts and Measurements

Total questions: 80

Worksheet time: 4hrs 3mins

Name
Class
Date
1.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
2.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
3.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
4.
Find the m∠EFH.
a)
61
b)
65
c)
114
d)
130
5.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
6.
What is the value of w?
a)
75
b)
105
c)
150
d)
210
7.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
8.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
9.

Solve for the m∠MNQ.

a)

89°

b)

45°

c)

158°

d)

142°

10.

Solve for the arc QP.

a)

160°

b)

260°

c)

200°

11.

Solve for m∠MLK.

a)

149°

b)

72°

c)

68°

12.

Solve for m∠TSR.

a)

250°

b)

70°

c)

80°

13.

Line t is tangent to the circle. Find the measure indicated in the image.

a)

48 degrees

b)

56 degrees

c)

63 degrees

d)

112 degrees

14.

Find the value of x.

a)

47

b)

94

c)

133

d)

165

15.

Find the value of x.

a)

42

b)

69

c)

111

d)

222

16.

Find the value of x.

a)

18

b)

26

c)

52

d)

67

17.

Find the value of x.

a)

10.4

b)

20

c)

66.2

d)

114

18.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
19.

Select the correct equation to solve for x.

a)

113 = 7x - 1

b)

96 = 7x - 1

c)

48 = 7x - 1

d)

34 = 7x - 1

20.

Solve for angle 1

a)

93°

b)

65°

c)

28°

d)

37°

21.

Solve for angle 1

a)

93°

b)

49°

c)

71°

d)

44°

22.

Solve for x

a)

10°

b)

13°

c)

24°

d)

37°

23.

Solve for x

a)

11

b)

6

c)

15

d)

4

24.

Solve for x

a)

13

b)

6

c)

32

d)

24

25.

Solve for x

a)

2

b)

4

c)

12

d)

7

26.

Solve for x

a)

16

b)

7

c)

11

d)

8

27.
What is the measure of arc NM?
a)
116
b)
117
c)
118
d)
119
28.

a)

66°66\degree  

b)

49°49\degree  

c)

164°164\degree  

d)

116°116\degree  

29.

a)

72°72\degree

b)

80°80\degree

c)

28°28\degree

d)

100°100\degree

30.

Find the size of each lettered angle

a)

A= 65, b= 75, c=40

b)

A= 75, b= 65, c=40

c)

A= 40, b= 75, c=65

31.

Find the size of each lettered angle

a)

d=58, e=43, f=79

b)

d=79, e=58, f=43

c)

d=79, e=43, f=58

32.

Find the size of each lettered angle.

a)

g=76, h=41, i=76

b)

g=41, h=76, i=76

c)

g=41, h=76, i=41

33.

Find the size of each lettered angle

a)

k=80, m=52, n=80

b)

k=52, m=52, n=80

c)

k=80, m=80, n=52

34.

Find the size of each lettered angle

a)

a = 75°

b = 75°

c = 75°

d = 30°

b)

a = 75°

b = 75°

c = 75°

d = 75°

c)

a = 75°

b = 30°

c = 75°

d = 30°

35.

Find the size of each lettered angle

a)

a = 86°

b = 47°

c = 47

d = 86°

b)

a = 86°

b = 47°

c = 86°

d = 47°

c)

a = 47°

b = 86°

c = 86°

d = 47°

36.

Find the size of each lettered angle

a)

a = 53°

b = 53°

b)

a = 53°

b = 106°

c)

a = 106°

b = 53°

37.

Find the size of each lettered angle

a)

a = 110°

b)

a = 55°

c)

a = 70°

38.

ATB is a tangent to each circle with centre O. Find the size of each angle.

a)

x = 34°

y = 11°

z = 15°

b)

x = 65°

y = 69°

z = 46°

c)

x = 46°

y = 69°

z = 65°

39.
Solve for x
a)
23o
b)
76o
c)
81o
d)
38o
40.

What is the measure of angle HKG?

(a)  

41.
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
42.
The distance across the circle through the center is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
43.
The distance all the way around the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
44.
The perimeter of a circle is usually called the...
a)
radius
b)
diameter
c)
circumference
d)
area
45.
The space contained inside of a circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
46.
If you multiply 2 × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
47.
If you multiply ½ × d  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
48.
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.
49.
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.
50.
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.
51.
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.
52.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
53.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
54.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
55.

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

a)

Diameter

b)

Radius

56.
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
57.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
58.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246.2 ft
c)
365.56 ft
d)
392.5 ft
59.
The diameter of a circle is 3 centimeters. What is the circumference?
a)
11.5cm2
b)
9.42 cm2
c)
unicorns are awsome
d)
45.3 cm2
60.
The diameter of a truck wheel is 56.5 inches. What is the circumference of the wheel?
a)
177.49 inches
b)
167.41 inches
c)
157.41 inches
d)
187.41 inches
61.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

62.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

63.

What is A?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

64.

What is H?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

65.

What is HA?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

66.

What is BJ?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

67.

What is DG?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

68.

Which is the center?

a)

K

b)

H

c)

JI\overline{JI}

d)

I

69.

Which is a chord?

a)

KL\overline{KL}  

b)

HG\overline{HG}  

c)

GI\overline{GI}  

d)

JL\overline{JL}  

70.

Which is secant?

a)

GI\overline{GI}  

b)

GJ\overline{GJ}  

c)

JKL\angle JKL  

d)

JK\overline{JK}   

71.

Which is a point of tangency?

a)

K

b)

L

c)

H

d)

J  

72.

What is GJ\overline{GJ}  ?

a)

Secant

b)

Minor Arc

c)

Tangent

d)

Radius

73.
a)
Name the circle: Circle B
b)
Name the circle: Circle DE
c)
Name the circle: Circle A
d)
Name the circle: Circle DBC
74.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
75.
What is the radius?
a)
18
b)
72
c)
38
d)
14
76.
a)
How many chords are there: 1
b)
How many chords are there: 5
c)
How many chords are there: 3
d)
How many chords are there: 0
77.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)
Segment
78.

What is line EF?

a)

A secant line

b)

A tangent line

c)

A chord

d)

A radius

79.

Which is a chord?

a)

AD

b)

EG

c)

GK

d)

BH

80.
What is AB?
a)
diameter
b)
center
c)
circumference
d)
radius