Free Printable Arcs and Central Angles

1.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

2.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

3.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

4.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

5.

What is the measure of arc AD?

a)

$38\degree$

b)

$142\degree$

c)

$180\degree$

d)

$153\degree$

6.

What is the measure of arc AB?

a)

$140\degree$

b)

$142\degree$

c)

$180\degree$

d)

$153\degree$

7.

a)

x = $160\degree$

b)

x = $40\degree$

c)

x = $80\degree$

d)

x = $360\degree$

8.

What is the measure of arc AXB

a)

$50\degree$

b)

$100\degree$

c)

$180\degree$

d)

$\ 260\degree$

9.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

10.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

11.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

c)

210°

d)

105°

12.

Solve for x.

a)

5

b)

20

c)

40

d)

85

13.

Solve for x.

a)

x = 6.45

b)

x = 8

c)

x = 12.6

d)

x = 7

14.

Solve for x.

a)

x = 11

b)

x = 6

c)

x = 8

d)

x = 9

15.

a)

a

b)

b

c)

c

d)

d

16.

Determine the measure of arc KL

a)

268

b)

92

c)

88

d)

272

17.

Find the measure of <XTY

a)

65

b)

98

c)

70

d)

52

18.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

19.

What is the major arc?

a)

Arc DBG

b)

Arc GLM

c)

Arc KMB

d)

Arc KJ

20.

What is the intercepted arc of <KAJ, and what is its measure?

a)

KJ; 90 degrees

b)

KJ; 127 degrees

c)

KAJ; 127 degrees

d)

KDJ; 127 degrees

e)

JK; 37 degrees

21.

What is a set of all points in a plane equidistant from a fixed point called its center?

a)

Circle

b)

Line

c)

Square

d)

Triangle

22.

What is a segment whose endpoints are the center of the circle and a point on the circle?

a)

Arc

b)

Chord

c)

Diameter

d)

Radius

23.

What is an arc whose measure is half of a circle?

a)

Major Arc

b)

Minor Arc

c)

Noah's Arc

d)

Semi-circle

24.

What is an angle whose vertex is the center of a circle?

a)

Central Angle

b)

Inscribed Angle

c)

Intercepted Angle

d)

Intercepted Arc

25.

What is the radius of the given circle?

a)

6 inches

b)

12 inches

c)

18 inches

d)

24 inches

26.

What is the diameter of the given circle?

a)

2.5 ft.

b)

5 ft.

c)

7.5 ft.

d)

10 ft.

27.

What is the measure of Arc AB in the figure?

a)

45⁰

b)

60⁰

c)

90⁰

d)

180⁰

28.

What is the measure of Arc SR in the figure?

a)

5⁰

b)

50⁰

c)

65⁰

d)

115⁰

29.

QS is a tangent to circle P. Find QS.

a)

144

b)

14

c)

12

d)

13

30.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

31.

What type of arc is arc AEB?

a)

Major

b)

Minor

c)

Semi-circle

d)

Noah's

32.

How many degrees are in a circle?

a)

90

b)

180

c)

270

d)

360

33.

What is the measure of arc YZX?

a)

231

b)

255

c)

168

d)

200

34.

Solve for the missing side.

a)

6.3

b)

10.4

c)

7.2

d)

8.9

35.

What can you conclude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

36.

What is the value of x?

a)

A

b)

B

c)

C

d)

D

37.

Find the perimeter of the triangle.

a)

A

b)

B

c)

C

d)

D

38.

Find x. Assume that segments that appear to be tangent are tangent.

a)

2

b)

11

c)

7.6

d)

9

39.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

40.

Which best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

41.

Which best describes line AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

42.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

Arcs and Central Angles

Total questions: 42

Worksheet time: 37mins

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