WorksheetsAngles of Circle
Total questions: 30
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
What is the m∠U?
a)
38⁰
b)
19⁰
c)
76⁰
d)
90⁰
2.
Find a and b.
a)
a=74⁰
b=93⁰
b=93⁰
b)
a=93⁰
b=74⁰
b=74⁰
c)
a=87⁰
b=106⁰
b=106⁰
d)
a=106⁰
b=87⁰
b=87⁰
3.
What is m∠RST?
a)
86°
b)
43°
c)
172°
d)
90°
4.
Find m∠RPQ.
a)
55°
b)
70°
c)
110°
d)
145°
5.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
6.
Find m∠UST.
a)
119°
b)
163°
c)
44°
d)
61°
7.
Find the measure of major arc PQ (the question mark).
a)
260°
b)
100°
c)
25°
d)
130°
8.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
9.
Find the measure of minor arc AC.
a)
76°
b)
135.5°
c)
70.5°
d)
65°
10.
Find the measure of minor arc KM.
a)
255°
b)
105°
c)
210°
d)
Cannot be determined.
11.
Find x.
a)
29⁰
b)
33⁰
c)
41.5⁰
d)
50⁰
12.
Find the m∠HFG.
a)
61⁰
b)
65⁰
c)
57⁰
d)
244⁰
13.
Find the measure of arc AB.
a)
17⁰
b)
34⁰
c)
68⁰
d)
146⁰
14.
Find the m∠1.
a)
130⁰
b)
65⁰
c)
44⁰
d)
86⁰
15.
Find the m∠2.
a)
80⁰
b)
45⁰
c)
125⁰
d)
40⁰
16.
Find the measure of arc RT.
a)
123⁰
b)
83⁰
c)
52⁰
d)
24⁰
17.
Find the measure of arc SR
a)
70⁰
b)
35⁰
c)
110⁰
d)
55⁰
18.
Find m∠DAR.
a)
34⁰
b)
17⁰
c)
68⁰
d)
136⁰
19.
Find m∠FAE.
a)
60⁰
b)
50⁰
c)
40⁰
d)
30⁰
20.
Find the measure of arc MN.
a)
76⁰
b)
75⁰
c)
70⁰
d)
89⁰
21.
Find the m∠PQS.
a)
44⁰
b)
65⁰
c)
71⁰
d)
130⁰
22.
Find the measure of angle V
a)
85
b)
80
c)
87
d)
117
23.
An angle in a circle with vertex on the circle itself
a)
Angle
b)
Central angle
c)
Inscribed angle
d)
Chord
24.
An angle in a circle with vertex on the center of the circle
a)
Central angle
b)
Angle
c)
Inscribed angle
d)
Circle
25.
A line that touches a circle in just one point.
a)
tangent
b)
chord
c)
secant
d)
radius
26.
Which is the correct equation to find m<KLM?
a)
x = 1/2(140 - 66)
b)
x = 1/2(140+66)
c)
66 = 1/2(140 - x)
d)
66 = 1/2(140 + x)
27.
solve for the missing angle
a)
45o
b)
90o
c)
22.5o
d)
128o
28.
A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.
a)
tangent
b)
secant
c)
radius
d)
arc
29.
Segments with endpoints on a circle are called _____.
a)
arcs
b)
radii
c)
chords
d)
polygons
30.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
100 %
