8/13/2019 (5) WKST Arc Length
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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
3π
2
4)
13 inπ
6
5) r = 18 cm, θ = 60° 6) r = 16 m, θ = 75°
7) r = 9 ft, θ =7π
48) r = 14 ft, θ =
19π
12
Find the length of each arc. Do not round.
9)
8 cm
315°
10)
19 ft150°
11)
14 cm
π
2
12)
13 ft3π
4
-1-
8/13/2019 (5) WKST Arc Length
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Find the area of each sector. Round your answers to the nearest tenth.
13)
10 in60°
14)
3 m
150°
15)
4 cm
3π
2
16)
14 yd
17π
12
Find the area of each sector. Do not round.
17)
16 ft
240°
18)
14 in
315°
19)
14 cm
3π
2
20)
12 ft
19π
12
21) r = 10 mi, θ =π
2
22) r = 12 yd, θ =5π
3
23) r = 7 km, θ = 60° 24) r = 7 mi, θ = 225°
-2-
8/13/2019 (5) WKST Arc Length
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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
3π
2
75.4 ft
4)
13 inπ
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 =7π
4
49.5 ft
8) r = 14 ft, θ =19π
12
69.6 ft
Find the length of each arc. Do not round.
9)
8 cm
315°
14π cm
10)
19 ft150°
95π
6 ft
11)
14 cm
π
2
7π cm
12)
13 ft3π
4
39π
4 ft
-1-
8/13/2019 (5) WKST Arc Length
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Find the area of each sector. Round your answers to the nearest tenth.
13)
10 in60°
52.4 in²
14)
3 m
150°
11.8 m²
15)
4 cm
3π
2
37.7 cm²
16)
14 yd
17π
12
436.2 yd²
Find the area of each sector. Do not round.
17)
16 ft
240°
512π
3 ft²
18)
14 in
315°
343π
2 in²
19)
14 cm
3π
2
147π cm²
20)
12 ft
19π
12
114π ft²
21) r = 10 mi, θ =π
2
25π mi²
22) r = 12 yd, θ =5π
3
120π yd²
23) r = 7 km, θ = 60°
49π
6 km²
24) r = 7 mi, θ = 225°
245π
8 mi²
2
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