Free Printable Properties of Circles

1.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

2.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

3.

Which shows a tangent line?

a)

b)

c)

d)

4.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Find OA

a)

-15

b)

6

c)

15

d)

14

5.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

6.

In the figure,PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120⁰ then ∠APB =

a)

60⁰

b)

30⁰

c)

120⁰

d)

75⁰

7.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

8.

Find the radius r

a)

2

b)

3

c)

4

d)

5

9.

Solve for the indicated Segment

a)

17

b)

22

c)

5.5

d)

11

10.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

11.

Angle a is a(n) ___ angle.

a)

central

b)

inscribed

12.

Angle b is a(n) ___ angle.

a)

central

b)

inscribed

13.

Find the measure of the marked angle.

a)

52

b)

104

c)

26

d)

13

14.

Find the measure of the marked arc.

a)

15

b)

30

c)

60

d)

7.5

15.

Find the measure of the marked arc.

a)

90

b)

22.5

c)

45

d)

180

16.

Find the measure of the marked angle.

a)

22

b)

44

c)

11

d)

66

17.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

18.

Solve for x.

a)

90

b)

12

c)

47

d)

45

19.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

20.

a)

240

b)

230

c)

205

d)

255

21.

Find the value of "x".

a)

23

b)

15

c)

8

d)

38

22.

Find the value of "x"

a)

6

b)

4

c)

8

d)

2

23.

Find the value of "x"

a)

8

b)

12

c)

4

d)

2

24.

Find the value of "x"

a)

9

b)

5

c)

6.7

d)

4

25.

Find the value of "x"

a)

16

b)

7

c)

2

d)

6

26.

Find the value of "x"

a)

5

b)

10

c)

15

d)

20

27.

Find the value of "x"

a)

12

b)

9

c)

16

d)

8

28.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

29.

4.

a)

123°

b)

57°

c)

132°

d)

66°

30.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

31.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

32.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

33.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

34.

Which graph corresponds to

(x-4)²+ (y+4)²=25

a)

A

b)

B

c)

C

d)

D

35.

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)² + (y - 2)² = 3² ?

a)

Centre (-1,-2)
Radius = 3 units

b)

Centre (1,2)
Radius = 3 units

c)

Centre (-1,-2)
Radius = 9 units

d)

Centre (1,2)
Radius = 9 units

36.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

Properties of Circles

Total questions: 36

Worksheet time: 3hrs 0mins

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