Free Printable *EC* Circles

1.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

2.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

3.

Find the perimeter of the quadrilateral.

a)

A

b)

B

c)

C

d)

D

4.

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

a)

8 cm

b)

9 cm

c)

2 cm

d)

16 cm

5.

Find the value of X

a)

3

b)

16

c)

8

d)

12

6.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

7.

Find the value of X

a)

8.5

b)

3.6

c)

7.2

d)

9.2

8.

Find the perimeter

a)

39.5

b)

32.8

c)

56.3

d)

79.2

9.

Find the perimeter

a)

54.4

b)

63

c)

71

d)

82.4

10.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

11.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

90

b)

309

c)

129

d)

39

12.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

160

b)

20

c)

70

d)

90

13.

In each circle, what is the value of x to the nearest tenth?

a)

4.25

b)

14.10

c)

3.75

d)

6.25

14.

What is the value of x to the nearest tenth?

a)

10.7

b)

114.5

c)

64.2

d)

5.35

15.

What is the value of x to the nearest tenth?

a)

5

b)

25

c)

5.5

d)

4.5

16.

Determine whether a tangent line is shown in the diagram. (Hint: Use the Pythagorean Theorem)

a)

Yes

b)

No

17.

Determine whether a tangent line is shown in each diagram. (Use the Pythagorean Theorem)

a)

Yes

b)

No

18.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

140

b)

45

c)

70

d)

190

19.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

82

b)

32

c)

21

d)

42

20.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

21.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

22.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

23.

What is x?

a)

5

b)

23

c)

2

d)

28

24.

Solve for x.

a)

167

b)

11

c)

9

d)

118

25.

a)

15°

b)

5°

c)

127°

d)

67°

26.

then what is the value of x?

a)

13°

b)

3°

c)

24°

d)

6°

27.

a)

65°

b)

125°

c)

92°

d)

152°

28.

Solve for x.

a)

86

b)

12

c)

11

d)

94

29.

Find a and b.

a)

a = 74°

b = 93°

b)

a = 93°

b = 74°

c)

a = 87°

b = 106°

d)

a = 106°

b = 93°

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

35.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

36.

What is m∠LMO?
(Segment LO is a diameter of Circle P)

a)

30°

b)

45°

c)

80°

d)

90°

37.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

38.

a)

A

b)

B

c)

C

d)

D

39.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

40.

Find the measure of <E.

a)

7

b)

8

c)

44

41.

Find the measure of <B

a)

4

b)

20

c)

10

d)

47

42.

Find the measure of <G

a)

54

b)

128

c)

27

43.

a)

A

b)

B

c)

C

d)

D

44.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

45.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

46.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

47.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

48.

In the diagram, two tangents to the circle share a common external point. Solve for the value of "x"

a)

8

b)

9

c)

6

d)

5

49.

What is the measure of angle 1?

a)

120

b)

40

c)

30

d)

60

50.

Given two secants, solve for x.

a)

10°

b)

20°

c)

30°

d)

40°

51.

What is line segment AB?

a)

External Segment

b)

Diameter

c)

Radius

d)

Chord

52.

Find the radius r

a)

2

b)

3

c)

4

d)

5

53.

What is the value of JT that verifies segment JT is tangent to circle O if OT = 6in and JO = 10in?

a)

9.2 in

b)

8 in

c)

17.1 in

d)

11.7 in

54.

Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.

a)

x = 14.4

b)

x = 8.9

c)

x = 16

d)

x = 8

55.

Find the perimeter of the polygon.

a)

77.8

b)

73.4

c)

78.8

d)

67.4

56.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

57.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

58.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

59.

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

a)

10 inches

b)

2 feet

c)

4.71 inches

d)

3.53 inches

60.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

61.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

62.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

63.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

64.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 in

d)

None of the above

65.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

66.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

67.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

68.

Find the diameter
Circumference = 20π km

a)

20 km

b)

12 km

c)

18 km

d)

14 km

69.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

70.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

71.

a)

60^o

b)

157^o

c)

50^o

d)

493^o

72.

Find x

a)

10

b)

5

c)

18

d)

9

73.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

74.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

75.

Find JI.

a)

30

b)

12

c)

7

d)

41

76.

Find PK.

a)

7

b)

22

c)

44

d)

11

77.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

78.

a)

278⁰

b)

297⁰

c)

90⁰

d)

105⁰

79.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

80.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

81.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

82.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB.

a)

5/3π

b)

9π

c)

8/3π

d)

6π

83.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

84.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG.

a)

40π feet

b)

35π feet

c)

11π feet

d)

22π feet

85.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

86.

Find the value of x.

a)

9.8

b)

6.3

c)

12.6

d)

4.9

87.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

88.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

89.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc AD = 156° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

90.

What is the measure of the indicated angle?

(a)

91.

In the circle, find the measure of angle CAB.

a)

A

b)

B

c)

C

d)

D

92.

If arc VY = 132° and arc XV = 50°, what is the measure of ∠ YUV?

a)

82°

b)

91°

c)

182°

d)

41°

93.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

94.

Find the value of x

a)

$46\degree$

b)

$23\degree$

c)

$140\degree$

d)

$70\degree$

95.

Find the measure of ∠ABD.

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

96.

a)

$59\degree$

b)

$29.5\degree$

c)

$191\degree$

d)

$95.5\degree$

EC Circles

Total questions: 96

Worksheet time: 8hrs 9mins

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