(5) WKST Arc Length

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8/13/2019 (5) WKST Arc Length

http://slidepdf.com/reader/full/5-wkst-arc-length 1/4

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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

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

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

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

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

http://slidepdf.com/reader/full/5-wkst-arc-length 4/4

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

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

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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