Free Printable Geomtry

1.

Solve for x.

a)

13

b)

65

c)

16

d)

11

2.

1. measure of arc JK

a)

339

b)

159

c)

201

d)

21

3.

1. measure of angle JNM

a)

339

b)

159

c)

201

d)

21

4.

1. measure of arc KL

a)

339

b)

159

c)

201

d)

21

5.

1. measure of arc JKM

a)

339

b)

159

c)

201

d)

21

6.

1. measure of arc MKL

a)

339

b)

159

c)

201

d)

21

7.

2. measure of angle UXV

a)

267

b)

21

c)

93

d)

108

e)

72

8.

2. measure of arc ST

a)

267

b)

21

c)

93

d)

108

e)

72

9.

2. measure of arc WV

a)

267

b)

21

c)

93

d)

108

e)

72

10.

2. measure of arc TW

a)

267

b)

21

c)

93

d)

108

e)

72

11.

2. measure of arc TVW

a)

267

b)

21

c)

93

d)

108

e)

72

12.

3. measure of arc CD

a)

236

b)

124

c)

90

d)

304

13.

3. measure of arc FD

a)

236

b)

124

c)

90

d)

304

14.

3. measure of arc DCF

a)

236

b)

124

c)

90

d)

304

15.

3. measure of arc GDF

a)

236

b)

124

c)

90

d)

304

16.

4. measure of arc PQ

a)

161

b)

71

c)

199

d)

109

e)

270

17.

4. measure of arc SR

a)

161

b)

71

c)

199

d)

109

e)

270

18.

4. measure of arc QRT

a)

161

b)

71

c)

199

d)

109

e)

270

19.

4. measure of arc PSR

a)

161

b)

71

c)

199

d)

109

e)

270

20.

4. measure of arc PS

a)

161

b)

71

c)

199

d)

109

e)

270

21.

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

a)

AB=CD

b)

AB > CD

c)

AB < AD

d)

None of above

22.

What do we call the red line?

a)

Chord

b)

Arc

c)

Diameter

d)

Segment

23.

What do we call the blue line?

a)

Chord

b)

Circumference

c)

Radius

d)

Arc

24.

What is :

a) C

b) AB

c) CD

d) DE

4 lines

25.

How many chords are in the figure?

(a)

26.

Find the area of the shaded sector of circle O. The radius is 6 cm and the central angle is 100°. Express answer to the nearest tenth of cm².

a)

9.2

b)

10.5

c)

31.4

d)

38.2

27.

Find the length of the arc to 2 decimal places

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

28.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

29.

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

a)

47

b)

74

c)

94

d)

123

30.

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

31.

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

32.

Line HK is (a)

33.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

34.

If the area of the 45° region of this circle is 77 cm², what is the arc length of the circle (minor arc of YZ)?

a)

11 cm

b)

44 cm

c)

88 cm

d)

176 cm

35.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 m and the length of the arc (the curved edge of the sector) measures 7.85 meter. Express answer to the nearest tenth of a square meter.

a)

0.3 square meter

b)

15.7 square meter

c)

19.7 square meter

d)

50.3 square meter

36.

Find x

a)

10

b)

5

c)

18

d)

9

37.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

38.

Use chords to solve for x

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

39.

Solve for x.

a)

3.6

b)

9.2

c)

11.5

d)

14.3

40.

Find the value of x.

a)

26

b)

24

c)

30

d)

20

41.

In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"

a)

x=4, y=5

b)

x=3, y=7

c)

x=7, y=3

d)

x=6, y=9

42.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

43.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

44.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

45.

How many degrees is angle d ?

a)

20

b)

45

c)

70

d)

none of the above

46.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

47.

extension

diagram shows a tangent to a circle with centre O. Find x and y in each case

a)

x = 12°

y = 156°

b)

x = 100°

y = 50°

c)

x = 62°

y = 28

d)

x = 30°

y = 60°

48.

Find the shaded angle

(a)

49.

Find the shaded angle

a)

57

b)

303

c)

61.5

50.

Find the shaded angle

a)

74

b)

148

c)

32

51.

If a is 60⁰, what is 2a ?

a)

30⁰

b)

120⁰

c)

90⁰

52.

Find the shaded angle

(a)

53.

Find the value of the angle marked x....

a)

102

b)

51

c)

129

d)

78

Geomtry

Total questions: 53

Worksheet time: 1hrs 21mins

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