Geometry Arcs and Circles

Kuta Software - Infinite Geometry

Name___________________________________

Arcs and Central Angles

Date________________ Period____

Name the arc made by the given angle.
2) ∠1

1) ∠FQE

I

F
H

1

Q
J

E
D

Name the central angle of the given arc.
3) ML

4) ML
L

L
M

K
1

Q
M
K

If an angle is given, name the arc it makes. If an arc is given, name its central angle.
6) Major arc for ∠1

5) RS

B

T

C

Q

2
1 3

S
R

A

7) ∠KQL

8) SVT

J

V

R

U
K

Q

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)

10)
155°

?

123°
?

120°

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-1-

Worksheet by Kuta Software LLC

11) mCFD

12) m∠SPQ

E

Q
154°

F
86°

D

81°

P
135°
U

R

C
T

60°

S

B

14) m∠MIJ

13) mEFC
C

B

K

I

E

126°

55°

J

D

F

M

L

Solve for x. Assume that lines which appear to be diameters are actual diameters.
15)

16)

x + 93

140°

6x − 8

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
18) m∠VST

17) mWV

−37 x + 2

W
T

V
12 x − 2

S
U
5 x + 10
U
S
V
T

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-2-

−27 x − 3

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Arcs and Central Angles

Date________________ Period____

Name the arc made by the given angle.
1) ∠FQE

FE

2) ∠1

HI
I

F
H

1

Q
J

E
D

Name the central angle of the given arc.
3) ML

∠1

4) ML

∠MQL