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Geometry - Circles

Total questions: 47

Worksheet time: 3hrs 51mins

Name
Class
Date
1.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
2.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
3.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
4.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
5.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
6.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
7.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
8.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
9.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
10.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
11.
Find the measure of <XTY
a)
65
b)
98
c)
70
d)
52
12.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
13.
Find the measure of arc GKJ
a)
105
b)
50
c)
55
d)
180
14.
A segment connecting two points on a circle that passes through the center.
a)
diameter
b)
radius
c)
secant
d)
tangent
15.

Find the length of the arc

a)

25pi/18

b)

125pi/90

c)

16pi/3

d)

20pi/3

16.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
17.
Name the tangent line. 
a)
s
b)
WR
c)
VT
d)
QR
18.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
19.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
20.
What is the value of a?
a)
216
b)
108
c)
54
d)
48
21.
What is the measure of a?
a)
116
b)
244
c)
58
d)
56
22.

What is this called?

a)

Chord

b)

Minor arc

c)

Secant

d)

Diameter

23.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
24.

What is this called?

a)

Tangent Line

b)

Central Angle

c)

Chord

d)

Inscribed Angle

25.

Find the perimeter

a)

39.5

b)

32.8

c)

56.3

d)

79.2

26.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
27.

Find the value of X

a)

8.5

b)

3.6

c)

7.2

d)

9.2

28.

Which shows a tangent line?

a)
b)
c)
d)
29.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
30.

What is the value of x?

a)

x=24

b)

x=12

c)

x=8

d)

x=6

31.

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

32.

Find the segment length indicated. Assume that lines which appear to be tangent are tangent

a)

9.4

b)

12.5

c)

7.5

d)

88.3

33.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

8

b)

9

c)

15

d)

17

34.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

35.

Name the tangent line.

a)

line s

b)

WR

c)

VT

d)

QR

36.

Find the segment length indicated. Assume that lines which appear to be tangent are tangent

a)

112\sqrt{112}  

b)

20

c)

400

d)

18

37.

The radius and any tangent line intersect at a right angle.

38.

What is true about these common tangents?

a)

RP = RS

b)

PT = TS

c)

ST = SR

d)

Common tangents are never congruent, the only appear congruent

39.

Which of the following uses the Pythagorean Theorem correctly to show that ∠T\angle T is a right angle?

a)

122+352=37212^2+35^2=37^2

b)

352+372=12235^2+37^2=12^2

c)

122+372=35212^2+37^2=35^2

d)

12+35+37=18012+35+37=180

40.

AD = ​ (a)  

XQ = ​ (b)  

BY = ​ (c)  

Choose from the below words
BC
QY
YC
AX
XD
41.

How long is CD?

(a)  

42.

Is line segment AB tangent to the circle?

a)

Yes

b)

No

43.

Line segment AB and line segment AD are both tangent to circle C. What is the value of x?

a)

4.5

b)

5

c)

5.5

d)

6

44.

Line segment AB is tangent to circle C. What is the radius of the circle?

a)

11

b)

15

c)

10

d)

8

45.

Line segment AB and AD are both tangent to circle C. Find x.

a)

2

b)

3

c)

4

d)

5

46.

A tangent line to a circle ...

a)

Touches the circle in two places.

b)

Passes through the center of the circle.

c)

Makes a 90 degree angle with the radius of the circle.

d)

None of the above.

47.

Is line segment AB tangent to the circle?

a)

Yes

b)

No