Free Printable Circles Review

1.

A _________ is a segment in a circle that has endpoints on the circle.

a)

Radius

b)

Diameter

c)

Chord

d)

Arc

2.

A __________ is the set of all points equidistant from a common point.

a)

Circle

b)

Diameter

c)

Radius

d)

Chord

3.

A __________ is a segment that connects the center of a circle to a point on the circle.

a)

Chord

b)

Radius

c)

Diameter

d)

Arc

4.

A __________ is the longest chord in a circle and goes through the center of a circle.

a)

Diameter

b)

Arc

c)

Chord

d)

Radius

5.

Name the circle.

a)

Circle R

b)

Circle T

c)

Circle S

d)

Circle L

6.

Identify a radius.

a)

RS

b)

ST

c)

WL

d)

RT

7.

Identify a chord.

a)

RT

b)

LT

c)

WL

d)

LR

8.

Identify all radii.

a)

DB, FC, BF

b)

FC, DF, FB

c)

EA, DB, FB

d)

CF, DF, EA

9.

In order to convert from general form to standard form, you must ___________.

a)

Multiply out

b)

expand

c)

factor

d)

complete the square

10.

What is the radius of the given circle:
x²+y²-10x+8y-23=0?

a)

4

b)

2

c)

8

11.

Determine the center and radius: x²+ y²+ 14x - 2y = -1

a)

center= (-7,2) radius= 3

b)

center= (-7,1) radius= 7

c)

center= (-4,1) radius= 5

12.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

13.

What is the measure of arc AB?

a)

100

b)

200

c)

260

d)

50

14.

What is the measure of Arc EG?

a)

300

b)

150

c)

210

d)

75

15.

Choose the correct image to match the description: The line segment joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

a)

b)

c)

d)

16.

What is this called?

a)

Circumference

b)

Minor Arc

c)

Major Arc

d)

Inscribed Angle

17.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

18.

Find m∠DAR.

a)

34⁰

b)

17⁰

c)

68⁰

d)

136⁰

19.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

20.

What is m∠ABC?

(a)

21.

(a)

22.

Find the missing arc indicated by the question mark.

(a)

23.

Find the missing arc indicated by the question mark.

(a)

24.

Find the measurement of the angle indicated.

a)

54

b)

27

c)

36

d)

72

25.

Find m∠MIJ

(a)

26.

Find x.

(a)

27.

Which statement is not true?

a)

$\Delta ABC$ is a right triangle.

b)

$\Delta ABM$ is isosceles.

c)

m arcBC = m∠BMC

d)

m arcAB = $\frac{1}{2}$ m∠ACB

28.

a)

25

b)

130

c)

50

d)

65

29.

What is m∠ABC?

a)

27

b)

54

c)

108

d)

216

30.

What is m∠ABC?

a)

27

b)

54

c)

108

d)

216

31.

What is the degree measure of ∠CEA?

a)

87

b)

61

c)

43.5

d)

26

32.

a)

108

b)

65

c)

44

d)

14

33.

What is the measure of an inscribed angle that intercepts an arc measuring $120^\circ$ ?

a)

$60^\circ$

b)

$120^\circ$

c)

$240^\circ$

d)

$30^\circ$

34.

If two inscribed angles of a circle intercept the same arc, what can be said about their measures?

a)

They are complementary.

b)

They are supplementary.

c)

They are equal.

d)

They are proportional.

35.

What is the measure of an angle formed by two chords intersecting inside a circle if the intercepted arcs measure $110^\circ$ and $130^\circ$ ?

a)

$60^\circ$

b)

$120^\circ$

c)

$240^\circ$

d)

$220^\circ$

36.

Solve for x

a)

x = 12

b)

x = 24.4

c)

x = 49.2

d)

x = 45

37.

Solve for m∡GEH

a)

∡GEH=13

b)

∡GEH=33

c)

∡GEH=57

d)

∡GEH=114

38.

Solve for x.

a)

x = 7.7

b)

x = 7.2

c)

x = 14

d)

x = 31

39.

Solve for ∡YZX

a)

∡YZX = 272

b)

∡YZX = 68

c)

∡YZX=224

d)

∡YZX=112

40.

Solve for the measure of ∡R

a)

∡R = 18

b)

∡R=43

c)

∡R=79

d)

∡R=86

41.

Solve for x (arc WQ)

a)

x = 49.5

b)

x = 45

c)

x = 99

d)

x = 147

42.

What is the measure of the angle DBC?

a)

$m\angle DBC=65\degree$

b)

$m\angle DBC=87.5\degree$

c)

$m\angle DBC=120\degree$

d)

$m\angle DBC=62.5\degree$

43.

Find the measure of minor arc SN (where the question mark is). Type in the numeric value.

(a)

44.

Find the measure of $\angle KML$ .

a)

$m\angle KML=10\degree$

b)

$m\angle KML=75\degree$

c)

$m\angle KML=42.5\degree$

d)

$m\angle KML=47.5\degree$

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

62.

What is the equation of a circle with radius 5 and center (-3, 4)?

a)

(x+3)² + (y-4)² = 5

b)

(x-3)² + (y-4)² = 25

c)

(x+3)² + (y-4)² = 25

d)

(x-3)² + (y+4)² = 5

63.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

64.

$Write\ the\ center\ point\ of\ the\ circle\ \ x^2\ +\ y^2\ =\ 100$

a)

$\left(1\ ,\ 1\right)$

b)

$\left(-1,\ -1\right)$

c)

$\left(\ 10,\ 10\right)$

d)

$\left(\ 0,\ 0\right)$

65.

A circle has the equation $x^2+y^2-12x+8y=-3$ Use completing the square to write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

66.

$x^2+12y+y^2-4x=8$

Change the equation to standard form

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

67.

Find the center and radius of the circle: x²+ y²+ 14x - 2y = -1.

a)

center = (-7, 2) radius = 3

b)

center = (-7, 1) radius = 7

c)

center = (-4, 1) radius = 7

d)

center = (-4, 2) radius = 3

68.

The endpoints of the diameter of a circle are (-10, -11) and (8, -9). Write the standard form equation of the circle.

a)

$\left(x-8\right)^2+\left(y+1\right)^2=6724$

b)

$\left(x+1\right)^2+\left(y+10\right)^2=82$

c)

$\left(x-1\right)^2+\left(y-10\right)^2=6724$

d)

$\left(x+1\right)^2+\left(y-10\right)^2=82$

69.

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

a)

(x−6)²+(y−3)²=13

b)

(x−3)²+(y−6)²=13²

c)

(x−5)²+(y−9)²=13

d)

(x−9)²+(y−5)²=169/4

70.

Which equation matches the circle on the graph?

a)

(x-3)²+(y-4)²=16

b)

(x-5)²+(y-2)²=20

c)

(x+3)²+(y+4)²=16

d)

(x-9)²+(y-16)²=32

Circles Review

Total questions: 70

Worksheet time: 3hrs 41mins

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