11-Arcs and Central Angles
Kuta Software - Infinite Geometry
Arcs and Central Angles
Name the arc made by the given angle. 1) FQE
F
Q E
D
Name the central angle of the given arc. 3) ML
Name___________________________________ Date________________ Period____
2) 1
I
H
1
J
4) ML
L M
1
L K
Q M K
If an angle is given, name the arc it makes. If an arc is given, name its central angle.
5) RS
6) Major arc for 1
T Q
S R
7) KQL
B C
2 13
A
8) SVT
J
Q
K
V R
U T
Q
L I
S
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
9)
155?
10)
?
123?
?
120?
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-1-
Worksheet by Kuta Software LLC
11) mCFD
E F
81?
D
135?
C B
12) mSPQ
Q 86?
154? P
U
R
T S 60?
13) mEFC
C
D
14) mMIJ
J 55? K
B
I
126?
E
F
M
L
Solve for x. Assume that lines which appear to be diameters are actual diameters.
15)
16)
140?
x + 93
6x - 8
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
17) mWV
18) mVST
12x - 2
W V
5x + 10 U
S
T
-37x + 2 T
S U
V
-27x - 3
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Arcs and Central Angles
Name the arc made by the given angle.
1) FQE
FE
F
Q E
D
Name the central angle of the given arc.
3) ML
1
Name___________________________________ Date________________ Period____
2) 1
I
H
1
HI
J
4) ML
MQL
L M
1
L K
Q M K
If an angle is given, name the arc it makes. If an arc is given, name its central angle.
5) RS
RQS
6) Major arc for 1 ACB
T Q
S R
7) KQL
KL
B C
2
13
A
8) SVT
SQT
J
Q
K
V R
U T
Q
L I
S
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
9)
120?
155?
10)
123?
?
123?
?
120?
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-1-
Worksheet by Kuta Software LLC
11) mCFD
E F
81?
D
135?
C B
306?
13) mEFC
C
D
12) mSPQ
Q 86?
154? P
U
R
T S 60?
146?
14) mMIJ
J 55? K
B
I
126?
E
F
234?
M
L
125?
Solve for x. Assume that lines which appear to be diameters are actual diameters.
15)
16)
140?
x + 93
6x - 8
-3 8
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
17) mWV
18) mVST
12x - 2
W V
S
50?
5x + 10 U
T
-37x + 2 T
S U
V
105?
-27x - 3
Create your own worksheets like this one with Infinite Geometry. Free trial available at
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-2-
Worksheet by Kuta Software LLC
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