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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Arc Length and Sector Area
Find the length of each arc. Round your answers to the nearest tenth.
1)
11 ft
315°
2)
13 ft
270°
3)
16 ft
3
π
2
4)
13 in
π
6
5)
r
= 18 cm,
θ
= 60° 6)
r
= 16 m,
θ
= 75°
7)
r
= 9 ft,
θ
=
7
π
4
8)
r
= 14 ft,
θ
=
19
π
12
Find the length of each arc. Do not round.
9)
8 cm
315°
10)
19 ft
150°
11)
14 cm
π
2
12)
13 ft
3
π
4
-1-
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Worksheet by Kuta Software LLC
Find the area of each sector. Round your answers to the nearest tenth.
13)
10 in
60°
14)
3 m
150°
15)
4 cm
3
π
2
16)
14 yd
17
π
12
Find the area of each sector. Do not round.
17)
16 ft
240°
18)
14 in
315°
19)
14 cm
3
π
2
20)
12 ft
19
π
12
21)
r
= 10 mi,
θ
=
π
2
22)
r
= 12 yd,
θ
=
5
π
3
23)
r
= 7 km,
θ
= 60° 24)
r
= 7 mi,
θ
= 225°
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Arc Length and Sector Area
Find the length of each arc. Round your answers to the nearest tenth.
1)
11 ft
315°
60.5 ft
2)
13 ft
270°
61.3 ft
3)
16 ft
3
π
2
75.4 ft
4)
13 in
π
6
6.8 in
5)
r
= 18 cm,
θ
= 60°
18.8 cm
6)
r
= 16 m,
θ
= 75°
20.9 m
7)
r
= 9 ft,
θ
=
7
π
4
49.5 ft
8)
r
= 14 ft,
θ
=
19
π
12
69.6 ft
Find the length of each arc. Do not round.
9)
8 cm
315°
14
π
cm
10)
19 ft
150°
95
π
6
ft
11)
14 cm
π
2
7
π
cm
12)
13 ft
3
π
4
39
π
4
ft
-1-
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Worksheet by Kuta Software LLC
Find the area of each sector. Round your answers to the nearest tenth.
13)
10 in
60°
52.4 in²
14)
3 m
150°
11.8 m²
15)
4 cm
3
π
2
37.7 cm²
16)
14 yd
17
π
12
436.2 yd²
Find the area of each sector. Do not round.
17)
16 ft
240°
512
π
3
ft²
18)
14 in
315°
343
π
2
in²
19)
14 cm
3
π
2
147
π
cm²
20)
12 ft
19
π
12
114
π
ft²
21)
r
= 10 mi,
θ
=
π
2
25
π
mi²
22)
r
= 12 yd,
θ
=
5
π
3
120
π
yd²
23)
r
= 7 km,
θ
= 60°
49
π
6
km²
24)
r
= 7 mi,
θ
= 225°
245
π
8
mi²
-2-
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