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Circle Review

Total questions: 75

Worksheet time: 19hrs 45mins

Name
Class
Date
1.
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
2.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
3.
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
4.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
5.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)

Arc

6.
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
7.
The diameter of a circle is 3 centimeters. What is the circumference?
a)

11.5 cm

b)

9.42 cm

c)

28.26 cm

d)

45.3 cm

8.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)

21.98 ft

9.

Ms. Merine calculated that her hoop earring has a raius of 1.75 centimeters. What is the circumference of her earring (round to the hundredths place)?

a)

21.98 cm

b)

9.62 cm

c)

9.15 cm

d)

10.99 cm

10.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
11.
What is the circumference of a 12-inch pizza?
a)
37.68 inches
b)
18.84 inches
c)
113.04 inches
d)
432.16 inches
12.

A dog is tied to a wooden stake in a backyard. His leash is 3 meters long and he runs around in circles pulling the leash as far as it can go. What is the measure of the circle the dog runs around the wooden stake?

a)
113.04 square meters
b)
9.42 square meters
c)
18.84 square meters
d)
28.26 square meters
13.

A lawn sprinkler sprays water 5 feet in every direction as it rotates. What is the AREA of the sprinkled lawn?

a)
31.4 square feet
b)
15.7 square feet
c)
19.63 square feet
d)
78.5 square feet
14.
The distance around the wheel of a truck is 9.42 feet. What is the radius of the wheel?
a)
3 feet
b)
1.5 square feet
c)
1.5 feet
d)
29.58 square feet
15.

A dinner plate has a radius of 7 centimeters. What is the area?  

a)

38 square centimeters

b)
154 square centimeters
c)

150 square centimeters

d)

44 square centimeters

16.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
17.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
18.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
19.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
20.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
21.
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
22.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

23.
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
24.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
25.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
26.

What is the diameter?

a)

6.5

b)

15.1

c)

24.8

d)

78

27.

What is a Chord

a)

The line from the center to the edge of the circle

b)

The segment between any two points on a circle

c)

A line that only crosses through one point on the circle

d)

A curved line that is part of the circumference of the circle

28.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)

Radius

29.
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
30.

True or false: A diameter is a chord.

a)

True

b)

False

31.
Say 'TRUE' or 'FALSE'
The diameter is the longest chord of a circle
a)
TRUE
b)
FALSE
32.

True or false: A diameter is half of a radius.

a)

True

b)

False

33.

True or false: The circumference is about 3 times the diameter.

a)

True

b)

False

34.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
35.
What is the area of this circle?
a)
452.39
b)
139.12
c)
113.1
d)
84.23
36.

Two or more circles with the same center

a)

Conical circles

b)

Congruent Circles

c)

Concentric circles

d)

Center circles

37.
C= 78.5, d= 
a)
20
b)
25
c)
30
d)
12.5
38.
C= 113.04cm, d= 
a)
24 cm
b)
36 cm
c)
18 cm
d)
30 cm
39.
d= 45 in, C=
a)
90 in
b)
141.3 in
c)
135 in 
d)
86.35 in
40.
d= 13.5in, C= 
a)
84.78 in
b)
42.39 in
c)
18.84 in
d)
13.5 in
41.

What is the circumference?

a)

16

b)

25

c)

50

d)

201

42.

Find the measure of Angle RPU

a)

A) 150

b)

B) 101

c)

C) 110

d)

D) 138

43.

Find the measure of Arc MN

a)

A) 76

b)

B) 75

c)

C) 70

d)

D) 89

44.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
45.
If the endpoints of an arc lie on a diameter, the arc is a ....
a)
major
b)
minor
c)
semicircle
d)
sector
46.
What units are used for arc measures?
a)
linear units (inches, meters)
b)
degrees
c)
square units
d)
triangle units
47.
Which of the following would be a major arc in the diagram?
a)
BC
b)
BCD
c)
CD
d)
AB
48.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
49.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
50.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
51.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
52.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
53.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

54.

Find the measure of Arc MN.

Hint: Subtract what you know from 360, then divide by 2, since there are two congruent arcs.

a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
55.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
56.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
57.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

58.

Find the red minor arc's measure.

(a)  

59.

Find the red minor arc's measure.

(a)  

60.

Find the m RS

a)

42

b)

138

c)

180

d)

318

61.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

62.

Find the length of the bold arc.

a)

38 ft

b)

50 ft

c)

150 ft

d)

17907 ft

63.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
64.

Find the blue major arc's measure.

(a)  

65.

Find blue major arc's measure.

(a)  

66.

Find the length of the arc in the diagram. ROUND your final answer to 2 decimal places.


Arc length = (a)   cm

67.

Find the Area of the arc in the diagram. You may ROUND your final answer to 2 decimal places. 


Area = (a)   cm2cm^2  

68.
What is the value of x?
a)
11
b)
88
c)
44
d)
22
69.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
70.
What is the value of x?
a)
8
b)
15
c)
13
d)
10
71.
Find x.
a)
4.4
b)
8.3
c)
9.4
d)
8.8
72.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
73.
In circle P, find the measure of angle QPR.
a)
A
b)
B
c)
C
d)
D
74.
Solve for x.
a)
10
b)
5
c)
18
d)
9
75.
Solve for x.
a)
4.3
b)
26
c)
13
d)
112