Free Printable Circle Geometry

1.

a)

$\beta=75\degree$

b)

$\beta=90\degree$

c)

$\beta=15\degree$

d)

$\beta=28\degree$

2.

a)

$\theta=110\degree$

b)

$\theta=90\degree$

c)

$\theta=80\degree$

d)

$\theta=100\degree$

3.

a)

$\theta=158\degree$

b)

$\theta=79\degree$

c)

$\theta=39.5\degree$

d)

$\theta=101\degree$

4.

a)

$\beta=35\degree$

b)

$\beta=30\degree$

c)

$\beta=70\degree$

d)

$\beta=75\degree$

5.

a)

$\beta=40\degree$

b)

$\beta=50\degree$

c)

$\beta=30\degree$

d)

$\beta=60\degree$

6.

a)

$\theta=50\degree$

b)

$\theta=130\degree$

c)

$\theta=40\degree$

d)

$\theta=90\degree$

7.

a)

$\beta=100\degree$

b)

$\alpha=95\degree$

c)

$\alpha=100\degree$

d)

$\alpha=85\degree$

8.

a)

$\gamma=110\degree$

b)

$\gamma=70\degree$

c)

$\gamma=55\degree$

d)

$\gamma=90\degree$

9.

a)

$\beta=100\degree$

b)

$\beta=90\degree$

c)

$\beta=120\degree$

d)

$\beta=150\degree$

10.

a)

$\alpha=50\degree$

b)

$\alpha=60\degree$

c)

$\alpha=65\degree$

d)

$\alpha=85\degree$

11.

a)

$\theta=65\degree$

b)

$\theta=130\degree$

c)

$\theta=25\degree$

d)

$\theta=50\degree$

12.

a)

$\beta=50\degree$

b)

$\beta=90\degree$

c)

$\beta=40\degree$

d)

$\beta=60\degree$

13.

a)

$\beta=70\degree$

b)

$\beta=20\degree$

c)

$\beta=35\degree$

d)

$\beta=90\degree$

14.

a)

$\theta=45\degree$

b)

$\theta=30\degree$

c)

$\theta=60\degree$

d)

$\theta=20\degree$

15.

a)

$x\approx7.6$

b)

$x=13$

c)

$x\approx12.7$

d)

$x\approx11.3$

16.

What is the value of x with a reason?

a)

$112\degree$

b)

$56\degree$

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

17.

Given: BCD is a diameter; $Angle\ D\ is\ =\ 23\degree$
What is the value of angle A with a reason?

a)

$90\degree$

b)

$67\degree$

c)

Angle in semicircle.

d)

angles on a straight line.

18.

Given: ABCD is a cyclic quadrilateral.
Are the following statements true or false?
$a+b=180\degree$
$c+d=180\degree$

a)

True

b)

False

19.

Name a chord.

a)

Segment XC

b)

Segment KM

c)

Segment HJ

d)

LINE BD

20.

Choose the correct image to match the description: The line segment joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

a)

b)

c)

d)

21.

Choose the correct description for the image above:

a)

If AB is a diameter of the circle with centre O, then angle P will not be a right angle.

b)

If AB is a radius of the circle with centre O, then angle P will be a right angle.

c)

If AB is a diameter of the circle with centre O, then angle P will be a right angle.

d)

None of the above

22.

The angle at the centre of a circle is ... the size of the angle at the circumference

a)

equal to

b)

twice

c)

three times

d)

four times

23.

Which of the following names a diameter?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segment BC

24.

A line that intersects a circle at exactly one point

a)

secant

b)

circle

c)

chord

d)

tangent

25.

A segment connecting two points on a circle that passes through the center.

a)

diameter

b)

radius

c)

secant

d)

tangent

26.

Given:

AO=OB=5

OP\ is\ perpendicular\ to\ Ab\ and\ OP=3

What is the value of AB?

a)

4

b)

8

c)

10

d)

6

27.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

28.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

29.

In the diagram, AC is tangent to circle B, find the length of CB.

a)

6

b)

7

c)

8

d)

9

30.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

31.

A tangent is a line that _______.

a)

passes through the center of the circle

b)

intersects the circle at two points

c)

intersects the circle at one point

d)

follows the circumference of a circle

Circle Geometry

Total questions: 31

Worksheet time: 46mins

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