ID: 1
Geometry - Clark
Name___________________________________
Central Angles and Arcs
Date________________ Period____
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Name the major and minor arcs made by the given angle.
2) ∠3
1) ∠HQG
W
H
I
1 2
Q
4
X
U
G
3) ∠1
3
V
4) ∠2
D
2
M
J
A
1
3
K
C
4 1
2
L
B
Name the angle that makes the given arc.
5) BE
6) GI
D
I
C
Q
2
3
1
H
E
G
B
7) EGF
8) BED
F
G
C
D
B
E
Q
Q
H
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E
-1-
Worksheet by Kuta Software LLC
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are
actual diameters.
10)
9)
?
?
60°
55°
30°
150°
12) m∠SWV
11) m∠QPS
U
Q
R
T
W
V
P
40°
S
S
61°
U
R
T
14) m∠EAF
13) mIJG
C
H
G
D
I
76°
B
A
E
120°
J
K
51°
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-2-
F
Worksheet by Kuta Software LLC
16) m∠URV
15) mMI
I
50°
60°
S
J
K
T
R
U
80°
W
M
V
L
Solve for x. Assume that lines which appear to be diameters are actual diameters.
17)
18)
x + 63
136°
118°
−5 x − 1
19)
20)
75°
85°
−9 x − 5
62°
63° 68°
x + 71
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-3-
Worksheet by Kuta Software LLC
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are
actual diameters.
21) m∠HEI
22) mEF
C
F
D
−1 + 37 x
50°
G
E
22 x − 1
14 x − 1
J
I
12 x + 7
11 x + 2 E
G
H
F
100°
24) m∠IMH
23) mDE
E
11 x + 2
L
F
−33 x + 1
H
43°
D
−24 x
21 x + 10
M
110°
G
K
I
35°
H
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J
-4-
Worksheet by Kuta Software LLC
ID: 1
Geometry - Clark
Name___________________________________
Central Angles and Arcs
Date________________ Period____
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Name the major and minor arcs made by the given angle.
2) ∠3
1) ∠HQG
W
H
I
1 2
Q
4
X
3
U
V
G
VU
HG
3) ∠1
4) ∠2
D
2
M
J
A
1
3
K
C
4 1
2
L
B
LK
AB
Name the angle that makes the given arc.
5) BE
6) GI
D
I
C
Q
2
3
1
H
E
G
B
∠3
∠BQE
7) EGF
8) BED
F
G
C
D
B
E
Q
Q
H
E
∠EQF
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∠BQD
-1-
Worksheet by Kuta Software LLC
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are
actual diameters.
10)
9)
?
?
60°
55°
30°
150°
55°
60°
11) m∠QPS
12) m∠SWV
U
Q
R
T
W
V
P
40°
S
S
61°
U
R
T
160°
119°
14) m∠EAF
13) mIJG
C
H
G
D
I
76°
B
A
E
120°
J
K
51°
60°
258°
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F
-2-
Worksheet by Kuta Software LLC
16) m∠URV
15) mMI
I
50°
60°
S
J
K
T
R
U
80°
W
M
V
L
60°
130°
Solve for x. Assume that lines which appear to be diameters are actual diameters.
17)
18)
x + 63
136°
118°
−5 x − 1
−7
−9
19)
20)
75°
85°
−9 x − 5
62°
63° 68°
x + 71
−6
−8
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-3-
Worksheet by Kuta Software LLC
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are
actual diameters.
21) m∠HEI
22) mEF
C
F
D
−1 + 37 x
50°
G
E
22 x − 1
14 x − 1
J
I
12 x + 7
11 x + 2 E
G
H
F
100°
55°
35°
24) m∠IMH
23) mDE
E
11 x + 2
L
F
−33 x + 1
H
43°
D
−24 x
21 x + 10
M
110°
G
K
I
35°
H
J
44°
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72°
-4-
Worksheet by Kuta Software LLC