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Worksheets

Circles

Total questions: 70

Worksheet time: 2hrs 3mins

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 chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
7.
An angle whose vertex lies on the circle and whose sides are chords of the circle
a)
inscribed angle 
b)
central angle
c)
arc
d)
radius
8.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
9.
An angle whose vertex is the center of a circle
a)
central angle
b)
inscribed angle
c)
minor arc
d)
major arc
10.

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

a)

∠BEQ > ∠CEQ

b)

∠BEQ = ∠CEQ

c)

∠BEQ < ∠CEQ

d)

None of the above

11.

In the below figure, the value of ∠ADC is:

a)

600

b)

300

c)

450

d)

550

12.

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

a)

600

b)

1100

c)

750

d)

450

13.

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

a)

800

b)

1000

c)

400

d)

600

14.

A point, whose distance from the centre of a circle is greater than its radius lies ———- of the circle.

a)

on circle

b)

in exterior

c)

on interior

d)

none of above

15.

The length of the complete circle is called its

a)

Radius

b)

diameter

c)

circumference

d)

area

16.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

17.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

18.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

19.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

20.

If you are given a radius and asked to find the diameter what do you do?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

21.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

22.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

23.

Can a secant be a tangent?

a)

yes they are both the same line

b)

yes they are both parts of a circle

c)

No secant intersects twice and tangent intersects once

d)

No they both have nothing to do with circles

24.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
25.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
26.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
27.
Name a secant.
a)
BD
b)
DG
c)
HF
d)
AF
28.
a)
Name the circle: Circle B
b)
Name the circle: Circle DE
c)
Name the circle: Circle A
d)
Name the circle: Circle DBC
29.
What is the measure of arc KL?
a)
108
b)
106
c)
110
d)
112
30.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
31.
Find the m∠MNQ.
a)
89⁰
b)
45⁰
c)
158⁰
d)
22⁰
32.
Find the m∠1.
a)
130⁰
b)
65⁰
c)
44⁰
d)
86⁰
33.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
34.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
35.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
36.
What is true about secants?
a)
Their end points are on the circle
b)
They go though the circle
c)
They touch the circle at one point
d)
They always go through the center point
37.
What is true about tangents?
a)
Their end points are on the circle
b)
They go though the circle
c)
They touch the circle at one point
d)
They always go through the center point
38.
Which is true
a)
All radii are chords
b)
All chords are Diameters
c)
All diameters are chords
d)
All tangents are chords
39.
What is true about chords?
a)
Their end points are on the circle
b)
They go though the circle
c)
They touch the circle at one point
d)
They always go through the center point
40.
Name a tangent.
a)
Segment XC
b)
Segment LM
c)
Segment HJ
d)
LINE BD
41.
Name a chord.
a)
Segment XC
b)
Segment LM
c)
Segment HJ
d)
LINE BD
42.
a)
Area of a Circle
b)
Circumference of a Circle
c)
Area of a Trapezoid
d)
Area of a Triangle
43.
What is AB?
a)
diameter
b)
center
c)
circumference
d)
radius
44.
What is CB?
a)
diameter
b)
center
c)
circumference
d)
radius
45.
The distance across a circle through the center is called the_______________.
a)
radius
b)
circumference
c)
diameter
d)
area
46.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
47.

The measure of the inside of a circle (always measured in square units)

a)

diameter

b)

radius

c)

circumference

d)

area

48.

The ratio of the Circumference to the diameter of the circle

a)

area

b)

circumference

c)

pi

d)

Mrs. McDonald

49.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
50.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
51.
How long is the radius of this circle?
a)
4cm
b)
2cm
c)
8cm
d)
16cm
52.
An arc is...
a)
A line that passes through the center and goes from edge to edge.
b)
A part of the circumference.
c)
A boat.
d)
A line that touches the circle once.
53.

What is a Semicircle

a)

A square

b)

Pineapple

c)

Half of a circle or circumference that is cut off in the middle.

d)

A quarter of a circle

54.

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm.Then the radius of the circle is

a)

25 cm

b)

26 cm

c)

24 cm

d)

10 cm

55.

Two concentric circles are of radii 13 cm and 5 cm. The length of the chord of larger circle which touches the smaller circle is

(a)  

56.
Find a and b.
a)
a=74⁰
b=93⁰
b)
a=93⁰
b=74⁰
c)
a=87⁰
b=106⁰
d)
a=106⁰
b=87⁰
57.
What is m∠RST?
a)
86°
b)
43°
c)
172°
d)
90°
58.

Find m∠RPQ.

a)

55°

b)

70°

c)

110°

d)

145°

59.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
60.
Find m∠UST.
a)
119°
b)
163°
c)
44°
d)
61°
61.
Find the measure of major arc PQ (the question mark).
a)
260°
b)
100°
c)
25°
d)
130°
62.
Find the measure of minor arc  AC.
a)
76°
b)
135.5°
c)
70.5°
d)
65°
63.
Find the measure of minor arc KM.
a)
255°
b)
105°
c)
210°
d)
Cannot be determined.
64.

Draw a flower using only circles.

65.

Would you rather live on the moon or under the sea?

a)

Moon

b)

Sea

66.

Between you and your partner, do 100 jumping jacks. How many did you do and how many did your partner do?

4 lines
67.

Skip down the hall and back. Which of you skipped faster?

4 lines
68.

Do you prefer Algebra or Geometry?

a)

Algebra

b)

Geometry

69.

Fractions are our (a)   !!!

70.

Sketch a logo that represents you and your partner.

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