1. Kuta Software - Infinite Geometry Name___________________________________
Arcs and Central Angles Date________________ Period____
Name the arc made by the given angle.
1) ∠FQE 2) ∠1
F I
H 1
Q
E J
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.
5) RS 6) Major arc for ∠1
B
T
Q C
2
1 3
S
R
A
7) ∠KQL 8) SVT
J V
R
U
K T
Q
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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2. 11) mCFD 12) m∠SPQ
E Q
F 154°
81° D 86°
P
135°
U
C R
T 60°
B S
13) mEFC 14) m∠MIJ
C D J 55°
K
B I
E
126°
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.
17) mWV 18) m∠VST
W −37 x + 2
V T
12 x − 2
S
U
5 x + 10
U
S
V −27 x − 3
T
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3. Kuta Software - Infinite Algebra 2 Name___________________________________
Arc Length and Sector Area Date________________ Period____
Find the length of each arc. Round your answers to the nearest tenth.
1) 2)
11 ft 270°
13 ft
315°
3) 4)
π
16 ft 6 13 in
3π
2
5) r = 18 cm, θ = 60° 6) r = 16 m, θ = 75°
7π 19π
7) r = 9 ft, θ = 8) r = 14 ft, θ =
4 12
Find the length of each arc. Do not round.
9) 10)
315° 150° 19 ft
8 cm
11) 12)
π 3π 13 ft
2 4
14 cm
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