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Parts of Circles, Tangents, Central Angles & Arcs

Total questions: 37

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Parts of Circles: What is being represented in the image?

a)

Diameter

b)

Chord

c)

Radius

d)

Tangent

2.

Parts of Circles: What is being represented in the image?

a)

Radius

b)

Diameter

c)

Tangent

d)

Secant

3.

Parts of Circles: What is being represented in the image?

a)

Secant

b)

Chord

c)

Tangent

d)

Diameter

4.

Parts of Circles: What is being represented in the image?

a)

Tangent

b)

Concentric Circles

c)

Radius

d)

Secant

5.

Parts of Circles: What is being represented in the image?

a)

Chords

b)

Tangents

c)

Exterior Angle

d)

Central Angle

6.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
7.

Which shows a tangent line?

a)
b)
c)
d)
8.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
9.
What is the radius?
a)
18
b)
72
c)
38
d)
14
10.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
11.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
12.

Lines AO and BO are tangent. What is the length of BO?

a)

20

b)

15

c)

10

d)

5

13.

In the figure, PA and PB are the tangents to a circle. PA = 22 and PB = 2x + 8. Find the value of x.

a)

7

b)

8

c)

11

d)

22

14.

Tangent Lines in Circles: What is the value of x?

a)

15

b)

7

c)

5

d)

3

15.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

16.

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)

11.7

b)

10.8

c)

13.0

d)

14.2

17.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
18.
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.
19.
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.
20.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
21.

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

a)

semicircle

b)

major arc

c)

minor arc

d)

sector

22.
This is a picture of ___________.
a)
Major Arc
b)
Minor Arc
c)
Central Angle
d)
Inscribed Angle
23.

What type of arc is arc AEB?

a)

Major

b)

Minor

c)

Semi-circle

d)

Noah's

24.

Which is a minor arc?

a)

AD

b)

ADB

c)

AB

d)

CD

25.

Which is a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

26.

Which is a semicircle?

a)

ABD

b)

ABC

c)

BA

d)

ACB

27.

Are arc RP and arc PQ congruent?

a)

yes 

b)

no

c)

not enough information to determine

28.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

29.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
30.

What is m∠GEHm\angle GEH ?

a)

64

b)

116

c)

180

d)

32

31.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
32.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

33.

What is the measure of arc MN?

a)

A ) 76

b)

B) 75

c)

C) 70

d)

D) 89

34.

What is the measure of arc NJK?

a)

55°

b)

60°

c)

115°

d)

180°

35.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
36.

BONUS QUESTION:


What is the value of x?

4 lines
37.

BONUS QUESTION:


What is the PERIMETER of quadrilateral ABCD?

4 lines