Free Printable HG Chapter 6 Review

1.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

2.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

3.

What is JB?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

4.

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

a)

90

b)

45

c)

50

d)

100

5.

Which is the correct way to solve this?

a)

210=x/2

b)

x=210/2

c)

x=150/2

d)

150=x/2

6.

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

a)

102

b)

51

c)

129

d)

78

7.

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

a)

56

b)

90

c)

34

d)

44

8.

What is the measure of angle c and d?

a)

c = 21, d = 50

b)

c = 63, d = 78

c)

c = 78, d = 63

d)

c = 10, d = 50

9.

Find the measure of the arc or angle indicated.

a)

39°

b)

32°

c)

48°

d)

34°

10.

Find the measure of the arc or central angle indicated.

a)

130°

b)

47°

c)

40°

d)

92°

11.

Which is the correct way to solve this?

a)

Angle CAB = (62 - 50)/2

b)

Angle CAB = (62 + 50)/2

c)

50 = (62 + x)/2

d)

62 = (50 + x)/2

12.

Find x.

a)

A

b)

B

c)

C

d)

D

13.

In a circle or congruent circles , congruent central angles have congruent___

a)

center

b)

arcs

c)

chord

d)

segment

14.

in a circle or congruent circles, congruent ___ have congruent arcs.

a)

segment

b)

chords

c)

arcs

d)

center

15.

The measure of an arc formed by two___ arcs is the sum of the measure of the two arcs.

a)

semi-circle

b)

congruent

c)

adjacent

d)

opposite

16.

In a circle or congruent circle, congruent arcs have congruent ____

a)

chords

b)

angles

c)

centers

d)

segments

17.

In a circle, if the ______ is perpendicular to a chord, then it bisects the chord and its arc.

a)

line

b)

segment

c)

radius

d)

chord

18.

In ʘA, TP is a diameter. What is the measure of TÔ if m∠OAP = 65^o?

a)

65°

b)

115^o

c)

130^o

d)

230^o

19.

Find the degree measure of the arc of the sector whose area is 8π of a circle and whose radius is 6cm.

a)

80^o

b)

90^o

c)

180^o

d)

360^o

20.

Given ⨀O with diameter $\overline{CD}$ . $\overline{AB}$ ∥ $\overline{CD}$ and m AB̂ = 80°. Find CA

a)

50^o

b)

55^o

c)

60^o

d)

65^o

21.

Which of the following statements is NOT true about an inscribed angle?

a)

An angle inscribed in a semicircle is an obtuse angle.

b)

The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.

c)

If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.

d)

An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.

22.

Find the value of x

a)

10

b)

23

c)

83

d)

181

23.

10.13 Inscribed Quadrilateral Theorem

A quadrilateral can be inscribed in a circle if and only if its opposite angles are (a) .

24.

10.7 Perpendicular Chord Bisector Theorem

If a diameter of a circle is perpendicular to a chord, then the diameter _________ _____ _______ and its arc.

(a)

25.

10.9 Equidistant Chords Theorem

In the same circle, or in congruent circles, two chords are congruent if and only if they are _________ _________ ________ ____________.

(a)

26.

10.10 Measure of an Inscribed Angle Theorem

The measure of an inscribed angle is one-half the measure of its _____________ ______.

(a)

27.

10.6 Congruent Corresponding Chords Theorem

In the same circle, or in congruent circles, two minor arcs are congruent if and only if their _________ ___________ are congruent.

(a)

28.

10.1 Tangent Line to Circle Theorem In a plane, a line is tangent to a circle if and only if the line is _________ ______ _____ __________ of the circle at its endpoint on the circle.

(a)

29.

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

a)

8

b)

9

c)

15

d)

17

30.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

16 in

b)

8 in

c)

11 in

d)

6 in

31.

Use chords to solve for x

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

32.

Use the following diagram. What is the value of x and y?

a)

$x=6\ and\ y=16$

b)

$x=16\ and\ y=6$

c)

$x=10\ and\ y=8$

d)

$x=8\ and\ y=10$

33.

Find the measure of the indicated angle.

a)

42
⁰
⁰
⁰

b)

51

c)

36

d)

45

34.

Solve for x.

a)

10

b)

85

c)

170

d)

180

35.

Solve for x.

a)

140

b)

89

c)

51

d)

38

36.

Find the measure of angle ADB.

a)

47.5

b)

85

c)

132.5

d)

180

37.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

38.

a)

14

b)

12

c)

19

d)

17

39.

Solve for x.

a)

6

b)

8

c)

10

d)

12

40.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

41.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

42.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

43.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

44.

How big is angle b?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

45.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

46.

In the diagram, AC is tangent to circle B, find the length of CB.

a)

6

b)

7

c)

8

d)

9

47.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

48.

A tangent is a line that _______.

a)

passes through the center of the circle

b)

intersects the circle at two points

c)

intersects the circle at one point

d)

follows the circumference of a circle

49.

Find the perimeter

a)

48.8

b)

47.4

c)

39.8

d)

36.4

50.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

51.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

52.

find the measure of y

a)

30

b)

60

c)

90

d)

180

53.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Not Enough Info

54.

Solve for x.

a)

5

b)

20

c)

40

d)

85

55.

In the figure, O is the centre . Find the value of x

a)

60⁰

b)

40⁰

c)

50⁰

d)

30⁰

56.

In the given figure, O is the centre. Find ∠OBC.

a)

30⁰

b)

50⁰

c)

60⁰

d)

45⁰

57.

Find the value of x.

a)

95⁰

b)

85⁰

c)

55⁰

d)

50⁰

58.

ABCD is a cyclic quadrilateral in which AB is extended to F and BE || DC. find ∠ADC

a)

85⁰

b)

95⁰

c)

75⁰

d)

105⁰

59.

What is the formula for circumference of a circle?

a)

C = d⋅π

b)

C = 2⋅π⋅r

c)

C = π⋅r²

d)

C = d⋅π and
C = 2⋅π⋅r

60.

A bike wheel has a diameter of 10 ft. What is the circumference of the wheel?

a)

10π feet

b)

3.14π feet

c)

3.14 feet

61.

A circle's diameter is 13 cm. What is the approximate circumference?

a)

6.5 cm

b)

13 cm

c)

40.8 cm

d)

20.4 cm

62.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

63.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

64.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

65.

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

66.

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

67.

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

68.

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

69.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

$\frac{3}{4}\pi$

d)

$30\pi$

70.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

71.

Find the area of the sector, rounding your answer to 1d.p.

a)

15.4m²

b)

15.3m²

c)

15.5m²

d)

15.6cm²

72.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

73.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

74.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

HG Chapter 6 Review

Total questions: 74

Worksheet time: 4hrs 1mins

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