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Central Angles, Inscribed Angles, Circumscribed Angles and Properties of Tangents

Total questions: 27

Worksheet time: 54mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.
a)
A
b)
B
c)
C
d)
D
3.
a)

A

b)

B

c)

C

d)

D

4.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

5.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
6.
a)
A
b)
B
c)
C
d)
D
7.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
8.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

9.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

10.
An angle in a circle with vertex on the circle itself
a)
Angle
b)
Central angle
c)
Inscribed angle
d)
Chord
11.
An angle in a circle with vertex on the center of the circle
a)
Central angle
b)
Angle
c)
Inscribed angle
d)
Circle
12.
The distance around a circle
a)
Diameter
b)
Radius
c)
Circumference
d)
Area
13.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

14.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
15.
Name the tangent line. 
a)
s
b)
WR
c)
VT
d)
QR
16.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

17.

What is the value of the tangent angle?

a)

74

b)

148

c)

296

d)

111

18.

Find the missing value.

a)

120

b)

60

c)

30

d)

240

19.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
20.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
21.

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

a)

8 cm

b)

9 cm

c)

2 cm

d)

16 cm

22.
Find x
a)
10
b)
5
c)
18
d)
9
23.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
24.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
25.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

26.

What is x?

a)

5

b)

23

c)

2

d)

28

27.
What is the name of the angle pictured?
a)
Central angle
b)
Inscribed angle
c)
Interscribed angle
d)
Circumscribed angle