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Central Angles and Inscribed Angles Quiz

Total questions: 57

Worksheet time: 2hrs 23mins

Name
Class
Date
1.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
2.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
3.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

4.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

5.

What is A?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

6.

What is H?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

7.

What is HA?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

8.

What is JIH\angle JIH  ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

9.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

10.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

11.

What is this called?

a)

Chord

b)

Minor arc

c)

Secant

d)

Diameter

12.

What is this called?

a)

Chord

b)

Minor arc

c)

Secant

d)

Diameter

13.
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
14.
In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.
a)
90
b)
60
c)
55
d)
113
15.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
16.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
17.

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

18.

Find the arc length of the circle. (Leave answers in terms of π\pi . Do not round your answer.)

a)

27π27\pi km

b)

π18\frac{\pi}{18} km

c)

15π15\pi km

d)

15π2\frac{15\pi}{2}

19.

Find the arc length of the circle. (Leave answers in terms of π\pi . Do not round your answer.)

a)

27π27\pi km

b)

π18\frac{\pi}{18} km

c)

15π15\pi km

d)

45π2\frac{45\pi}{2} km

20.

Find the arc length of the circle. (Round your answer to the nearest tenth.)

a)

42.4 m

b)

21.2 m

c)

84.8 m

d)

6.7 m

21.
a)
A
b)
B
c)
C
d)
D
22.
a)
a
b)
b
c)
c
d)
d
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
27.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
28.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
29.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
30.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
31.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
32.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
33.
What is the measure of arc JK?
a)
55°
b)
60°
c)
120°
d)
135°
34.
What is the measure of arc WXZ?
a)
231
b)
255
c)
168
d)
200
35.

The angle marked with 110 is​ a (a)  

Choose from the below words
Central Angle
Inscribed Angle
36.

What is the measure of the missing angle in degrees?

37.

Find the measure of the missing angle in degrees.

38.
Find the measure of arc AB.
39.

Solve for the missing angle.

40.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
41.
a)

70

b)

140

c)

35

d)

88

42.
a)

mK=100 & mM=100

b)

mK=50 & mM=50

c)

mK=100 & mM=50

d)

mK=50 & mM=100

43.

What is x?

a)

15

b)

23

c)

2

d)

92

44.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

45.
Given the following inscribed quadrilateral, what is the value of y?
a)
10
b)
20
c)
30
d)
40
46.

opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

a)

complements

b)

supplements

c)

congruent

d)

opposite

47.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

48.

Solve for x.

a)

167

b)

11

c)

9

d)

118

49.

What is x?

a)

5

b)

23

c)

2

d)

28

50.

then what is the value of x?

a)

13°

b)

c)

24°

d)

51.
a)

65°

b)

125°

c)

92°

d)

152°

52.

Find a and b.

a)

a = 74°

b = 93°

b)

a = 93°

b = 74°

c)

a = 87°

b = 106°

d)

a = 106°

b = 93°

53.

Find the measure of the marked angle.

a)

140

b)

70

c)

35

d)

210

54.
What is the measure of angle 1?
a)
120
b)
40
c)
30
d)
60
55.
a)

A

b)

B

c)

C

d)

D

56.
a)
A
b)
B
c)
C
d)
D
57.
a)

A

b)

B

c)

C

d)

D