Infinite Geometry - Segments, Arc Lengths, and Sectors of ...

[Pages:9]Honors Geometry

Name___________________________________ ID: 1

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Segments, Arc Lengths, and Sectors of Circles

Date________________ Period____

Find the length of each arc. Leave answers in terms of pi.

1)

2)

315?

11 in 90?

14 ft

3)

60? 9 in

4)

11 ft 210?

Find the area of each sector. Leave answers in terms of pi.

5)

6)

45? 10 m

10 mi

300?

7)

10 yd 135?

8)

5 cm 210?

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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

9)

10)

13.8

5 x

8.9 3.2

x

11)

x

6.4 12.1

12)

15.2 19.8

x

13)

x 5.2

12.8

14)

x 11.6

8.4

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15)

x

12.1

7

16)

18.1

11.1 x

17)

x 13.7

15

19)

15.3 x

38.8

18)

11.7

13.8

x

20)

x 18.5

41.2

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Solve for x. Assume that lines which appear tangent are tangent.

21)

x 7 8

16

22)

12 14

x

21

23)

2x 21 16 3x + 3

24)

8 x - 2 5

x + 4

25)

9 2 + 2x 6x

16

27)

8x 5

6x 7

26)

6 x - 7

x - 2 6

28)

12 18

x

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29)

x

6

4

30)

8 x - 7

5 x - 1

Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.

31) Find BD

32) Find AT

W

3

E

x - 6

B

5 C

D x-8

W T

x+4 8

x + 2 A

V 15

U

33) Find BD

B

C

3

x - 3

6 L

D E4

34) Find CD

E

34

D

F

2 L

x - 6

C

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Determine if line AB is tangent to the circle.

35)

36)

10 A

14.5

10.5

B

A

12

12.6

B 17.4

37)

7.7

8.5

A

3.6 B

38)

10.2 A

13.6 8.7

B

Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

39)

8 ?

40)

12.8 ?

9.6

6

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41)

? 16

20

42)

19

15.2 ?

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

43)

10.6

44)

14.1

12 21.1

6.8 8

13.7

45)

10.3

9.2

46)

9

13.6 5.6

5.1 13.6

Find the angle measure indicated. Assume that lines which appear to be tangent are tangent.

47)

48)

75 ?

?

? 53 ?

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49)

?

121 ?

50)

?

135 ?

Solve for x. Assume that lines which appear to be tangent are tangent.

51)

52)

9x + 4

10x - 1

2x + 40

x + 40 20.4

53)

15.4 3x - 11

x + 11

54)

14x - 2

12x + 2

19.2

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