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Properties of circle

Total questions: 20

Worksheet time: 36mins

Name
Class
Date
1.
What is the definition of a radius of a circle.
a)
A line segment from the centre of a circle to the circumference.
b)
The perimeter of a circle.
c)
A line segment joining two points on the circumference of a circle, that goes through the centre of the circle.
d)
A line segment joining two point on the circumference. 
2.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)
Segment
3.
What do we call the blue line?
a)
Chord
b)
Circumference
c)
Radius
d)
Arc
4.
What is C?
a)
diameter
b)
center
c)
circumference
d)
radius
5.

How many chords are in the figure?

a)

1

b)

2

c)

3

d)

0

6.
Is this a minor arc or major
a)
Minor
b)
Major
7.
Definition of a chord
a)
a line that stretches across the circle in any type of length, but has to be in a straight line.
b)
the dot that's located in the middle of a circle.
8.

Why is angle OAB =90o ?

a)

tangents to circle

b)

sum of angles in quadrilateral

c)

tangents to circle from external point

d)

line from external point of tangents bisect angle formed between radius of circle

9.

Why is angle ABC + angle ADC = 1800 ?

a)

angles in opposite segments are supplementary

b)

angles in same segment

c)

angle at centre is twice angle at circumference

d)

sum of angles on a straight line

10.

Why is angle BAC =900 ?

a)

tangents to circle

b)

tangents to circle from external point

c)

right angle in semi-circle

d)

angles in same segment

11.
Find the measure of angle MNQ.
a)
89
b)
45
c)
158
d)
22
12.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
13.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
14.
A segment whose endpoints lie on a circle is a _______.
a)
tangent
b)
chord
c)
diameter
d)
secant
15.
Find the measure of major arc PQ (the question mark).
a)
260°
b)
100°
c)
25°
d)
130°
16.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
17.

What kind of line is LP?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

18.

Solve for x.

a)

140

b)

89

c)

51

d)

38

19.
a)

A

b)

B

c)

C

d)

D

20.

P is the center of the circle. Find the measure of angle QPR

a)

A

b)

B

c)

C

d)

D