Free Printable Circles Review

1.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

2.

How big is angle b?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

3.

Solve for a.

a)

6

b)

6.67

c)

8.33

d)

10

4.

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

a)

2

b)

3

c)

9

d)

14

5.

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

a)

6

b)

7

c)

8

d)

9

6.

In the diagram, two chords intersect inside the circle. Solve for x.

a)

14

b)

12

c)

19

d)

17

7.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

8.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

9.

In a circle (or congruent circles), chords that are the same distance from the center:

a)

are similar

b)

have the same name

c)

are congruent to each other

d)

are walking dead

10.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

11.

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

12.

Find the perimeter

a)

48.8

b)

47.4

c)

39.8

d)

36.4

13.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

14.

Name a chord.

a)

Segment XC

b)

Segment KM

c)

Segment HJ

d)

LINE BD

15.

a)

81

b)

22

c)

51.5

d)

73.5

16.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

17.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

18.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

19.

Central angle: an angle with its vertex _____________ the circle.

a)

at the center of

b)

on

20.

Inscribed angle: an angle with its vertex _____________ the circle.

a)

at the center of

b)

on

21.

a)

A

b)

B

c)

C

d)

D

22.

What is the measure of angle U?

a)

A

b)

B

c)

C

d)

D

23.

What is the measure of angle Q?

a)

A

b)

B

c)

C

d)

D

24.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

25.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

26.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

27.

Solve for x.

a)

90

b)

12

c)

47

d)

45

28.

Find the measure of angle a.

a)

30

b)

21

c)

60

d)

120

29.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

30.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

31.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

32.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

33.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

34.

Find the arc length

a)

5.5

b)

11

c)

0.4

d)

141.4

35.

What is x?

a)

15

b)

23

c)

2

d)

92

36.

Find the area of each sector.

a)

6.4 m²

b)

7.9 m²

c)

9.8 m²

d)

11.8 m²

37.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26 units²

b)

452.39 units²

c)

113.10 units²

d)

40,715.04 units²

38.

Name the tangent line.

a)

s

b)

WR

c)

VT

d)

QR

39.

What is the area of the shaded segment?

a)

32π/3 - 2√3

b)

32π/3 - 16√3

c)

16π/3 - 16√3

d)

32π/3 + 16√3

40.

Try - it, find the area of the segment of the circle.

a)

192π - 12√3

b)

384π - 144√3

c)

192π - 144√3

d)

384π - 12√3

41.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

a)

(464/9)π mm²

b)

(112/9)π mm²

c)

(116/9)π mm²

d)

(28/9)π mm²

42.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

43.

Find the value of "x".

a)

23

b)

15

c)

8

d)

38

44.

Find the value of "x"

a)

8

b)

12

c)

4

d)

2

45.

Find the length of segment AB

a)

16

b)

5

c)

17

d)

.5

46.

Solve for x.

a)

6

b)

8

c)

10

d)

12

47.

a)

48

b)

7

c)

8

d)

16

48.

What is the difference between a tangent line and a secant line?

a)

A secant intersects the circle twice; a tangent touches the circle once

b)

A tangent intersects the circle twice; a secant touches the circle once

c)

A secant goes through the center of the circle; a tangent does not

d)

A secant is outside the circle; a tangent is inside the circle

49.

Match the following part of the circle with its correct label.

a)

Center

1.

Point S

b)

Chord

2.

Segment XW $\overline{XW}$

c)

Radius

3.

$\overline{ST}$

Segment ST

d)

Diameter

4.

$\overline{QV}$

Segment QV

e)

Tangent Line

5.

$\overline{VU}$

Line VU

50.

Match the following vocabulary term with its appropriate part of the circle.

a)

Secant Line

1.

Line PR

b)

Point of Tangency

2.

Point V

c)

Minor Arc

3.

$\cap QP$

Arc QP

d)

Major Arc

4.

$\cap RVT$

Arc RVT

e)

Semi-Circle

5.

$\cap QXV$

Arc QXV

51.

What is the formula to use to find a central angle

a)

Central Angle = Intercepted Arc

b)

$\frac{Central\ Angle}{Intercepted\ Arc}$

c)

$\frac{Intercepted\ Arc}{2}$

d)

2(Intercepted Arc)

52.

What is the formula to use when solving for an inscribed angle?

a)

$\frac{Intercepted\ Arc}{2}$

b)

Equal to the Intercepted Arc

c)

2(Intercepted Arc)

d)

$\frac{2(Intercepted\ Arc)}{2}$

53.

If a quadrilateral is inscribed in a circle, the opposite angles are

a)

Supplementary

b)

Congruent

c)

Complimentary

54.

What is the formula to use when solving for an intercepted arc of an inscribed angle?

a)

$\frac{Inscribed\ Angle}{2}$

b)

Equal to the Inscribed Angle

c)

2(Inscribed Angle)

d)

$\frac{2(Inscribed\ Angle)}{2}$

55.

Find the measure of the missing angle in degrees. (Hint: Overlapping Arcs and Inscribed Angles)

a)

41

b)

37

c)

82

d)

164

56.

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

a)

$\frac{Inscribed\ Angle}{2}$

b)

2(Inscribed Angle)

c)

2(Intercepted Arc)

d)

$\frac{Intercepted\ Arc}{2}$

57.

What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?

a)

$\frac{Major\ Arc-Minor\ Arc}{2}$

b)

$\frac{Major\ Arc\ +Minor\ Arc}{2}$

c)

2(Major Arc + Minor Arc)

d)

Major Arc - Minor Arc

58.

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

a)

42.4

b)

52

c)

52.3

d)

42

59.

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

a)

$\frac{Minor\ Arc-Major\ Arc}{2}$

b)

$Major\ Arc-Minor\ Arc$

c)

$\frac{Major\ Arc-Minor\ Arc}{2}$

d)

$\frac{Major\ Arc+Minor\ Arc}{2}$

60.

What is the center and radius for a circle with the equation:

(x - 4)²+ (y + 2)²= 169

a)

C:(4, -2), r=13

b)

C:(4, -2), r=169

c)

C:(-4, 2), r=13

d)

C:(-4, 2), r=169

61.

Find the lenght of tangent line x.

a)

15

b)

4.1

c)

16.1

62.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

63.

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

64.

Find the length of the radius of the circle.

a)

4

b)

5

c)

7

d)

8

65.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

66.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

67.

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

68.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

69.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

70.

Select all the equations for a circle with a diameter of 12.

a)

$\left(x+8\right)^2+\left(y-4\right)^2=36$

b)

$\left(x-2\right)^2+\left(y+14\right)^2=144$

c)

$x^2+y^2=36$

d)

$x^2+y^2=144$

e)

$\left(x+6\right)^2+\left(y+6\right)^2=24$

71.

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

Circles Review

Total questions: 71

Worksheet time: 2hrs 56mins

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