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Test 7: Circle Basics, Sector Area, Arc Length REVIEW

Total questions: 50

Worksheet time: 2hrs 16mins

Name
Class
Date
1.
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
2.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
3.
If the circumference of a circle is 22 π ft, what is the radius?
a)
22 ft
b)
11ft
c)
π ft
d)
no ft
4.
If the circumference of a circle is 44 π feet, what is the radius?
a)
22 ft
b)
44 ft
c)
33 feet
d)
3.14 feet
5.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
6.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
7.
A _____ is half of a circle.
a)
circumference
b)
pi
c)
semicircle
d)
 composite figure
8.
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
9.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
10.
If the area of circle is 100 π , find the radius of the circle.
a)
10 π
b)
10
c)
50
d)
50 π
11.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
12.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
13.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
14.
A chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
15.
An angle whose vertex lies on the circle and whose sides are chords of the circle
a)
inscribed angle 
b)
central angle
c)
arc
d)
radius
16.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
17.
An angle whose vertex is the center of a circle
a)
central angle
b)
inscribed angle
c)
minor arc
d)
major arc
18.
a)
Name the circle: Circle B
b)
Name the circle: Circle DE
c)
Name the circle: Circle A
d)
Name the circle: Circle DBC
19.
Name a secant.
a)
BD
b)
DG
c)
HF
d)
AF
20.
Segments with endpoints on a circle are called _____.
a)
arcs
b)
radii
c)
chords
d)
polygons
21.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
22.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
23.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
24.

Can a secant be a tangent?

a)

yes they are both the same line

b)

yes they are both parts of a circle

c)

No secant intersects twice and tangent intersects once

d)

No they both have nothing to do with circles

25.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

26.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

27.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

28.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

29.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

30.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

31.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
32.
Find the m∠MNQ.
a)
89⁰
b)
45⁰
c)
158⁰
d)
22⁰
33.
Find the m∠1.
a)
130⁰
b)
65⁰
c)
44⁰
d)
86⁰
34.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
35.
Find the measure of minor arc KM.
a)
255°
b)
105°
c)
210°
d)
Cannot be determined.
36.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
37.

Find the length of the arc

a)

25pi/18

b)

125pi/90

c)

16pi/3

d)

20pi/3

38.

Find arc AB for your final answer.

a)

90

b)

82

c)

49

d)

98

39.
a)

180

b)

198

c)

252

d)

360

40.
a)

136

b)

88

c)

44

d)

176

41.
a)

72

b)

118

c)

59

d)

256

42.
a)

19

b)

141

c)

39

d)

67

43.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
44.

Which of the following can be used to calculate the circumference of a circle? (SELECT ALL THAT APPLY)

a)

C=2πrC=2\pi r

b)

C=πr2C=\pi r^2

c)

A = πr2A\ =\ \pi r^2

d)

C=πdC=\pi d

45.

In a​ circle, a 90° sector has area 64π in2. What is the radius of the​ circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

46.

Calculate the area of the sector.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

47.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

48.

Find the area of the sector with a measure of 60 degrees and radius of 10in.

a)

52.4 in2

b)

18,864 in2

c)

60 in2

d)

10.47 in

49.

Find the area of the sector with a radius of 3m and measure of 150 degrees.

a)

4248 m2

b)

7.9 m2

c)

2827.4 m2

d)

11.8 m2

50.
What is the area of the shaded sector?
a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above