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Worksheets

Circles and Angles

Total questions: 84

Worksheet time: 2hrs 51mins

Name
Class
Date
1.

What is the value of angle a?

a)

145

b)

135

c)

125

d)

45

2.

What is the value of angle a?

a)

30

b)

150

c)

70

d)

60

3.

What is the value of angle a?

a)

130

b)

90

c)

40

d)

50

4.

What is the value of angle a?

a)

230

b)

60

c)

260

d)

240

5.

What is the value of angle a?

a)

150

b)

140

c)

130

d)

40

6.

What is the value of angle a?

a)

30

b)

90

c)

25

d)

60

7.

Which type of angle is this?

a)

Acute

b)

Obtuse

c)

Right

8.

Which one is a right angle?

a)
b)
c)
d)
9.
What is an "Acute" Angle?
a)
Angle that measures 180
b)
An Angle that measures 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
10.

An obtuse angle measures:

a)

Less than 90 degrees

b)

Greater than 90 degrees

c)

90 degrees

11.

A right angle measures:

a)

90 degrees

b)

Less than 90 degrees

c)

Greater than 90 degrees

12.
What is the measurement of a right angle?
a)
70
b)
80
c)
90
d)
180
13.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
14.

What is the figure pictured

a)

Intersecting Lines

b)

Perpendicular Lines

c)

Parallel Lines

d)

Line Segment

15.

The picture represents a _________

a)

Plane

b)

Flat Surface

c)

A stretched square

d)

Some type of shape

16.

This Angle is called an ___________ angle

a)

Right

b)

Obtuse

c)

Straight

d)

Acute

17.

This angle is called an ________________ angle

a)

Right

b)

Obtuse

c)

Acute

d)

Straight

18.

Find ∠a\angle a  

a)

180°180\degree  

b)

90°90\degree  

c)

70°70\degree  

d)

100°100\degree  

19.

Find ∠g\angle g  

a)

74°74\degree  

b)

134°134\degree  

c)

90°90\degree  

d)

44°44\degree  

20.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
21.
Find the value of x.
a)
15
b)
30
c)
45
d)
60
22.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

23.
a)
Triangular Prism 
b)
Cone
c)
Triangular Pyramid
d)
Rectangular Pyramid 
24.
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Rectangular Pyramid 
25.
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Prism
d)
Rectangular Pyramid
26.
a)
Rectangular Prism
b)
Cube
c)
Triangular Prism
d)
Square
27.
a)
Rectangular Prism
b)
Cube
c)
Rectangular Pyramid
d)
Triangular Prism
28.
a)
Triangular Prism
b)
Rectangular Prism
c)
Cone
d)
Triangular Pyramid
29.
a)
Rectangular Prism
b)
Triangular Prism
c)
Triangular Pyramid
d)
Rectangular Pyramid
30.
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Prism
d)
Rectangular Pyramid
31.
a)
Rectangular Prism
b)
Cube
c)
Triangular Prism
d)
Shoe box
32.
a)
Rectangular Prism
b)
Triangular Prism
c)
Cube
d)
Dice 
33.

What is this shape?

a)

Cube

b)

Rectangular Prism

c)

Square

d)

Pentagonal-Prism

34.

A square has an area of 169m². What is the perimeter of the square?

a)

52m

b)

13m

c)

45m

d)

42.12m

35.

The circular end of a tin of milo has a circumference of 26.4cm. Find the radius of it.

a)

7cm

b)

5cm

c)

3.4cm

d)

4.2cm

36.

The perimeter of a room is 24m. If its length is 7m. Find its breadth

a)

7m

b)

5m

c)

6m

d)

4m

37.

A length of wire measuring 60m is needed to make an equilateral triangle. What will be the length   of each side?

a)

20m

b)

10m

c)

15m

d)

25m

38.

The perimeter of a square having sides of 21cm each is …………………..

a)

5.25cm

b)

50cm

c)

70cm

d)

84cm

39.

An isosceles triangle has two equal sides of length xcm. If the third side is 8cm, find x if perimeter of the triangle is 28cm. 

a)

15cm

b)

5cm

c)

10cm

d)

8cm

40.

Find the base of a triangle whose area is 65cm2 and the height is 10cm

a)

15cm

b)

13cm

c)

10cm

d)

8cm

41.

The area of a parallelogram is 65m. If the height is 5m, what is the base?

a)

13cm

b)

15cm

c)

12cm

d)

8cm

42.

The area of a square garden is 196m2. What is the length of each side?

a)

13m

b)

15m

c)

12m

d)

14m

43.

Find the area of a trapezium with bases of 4cm and 7cm and a height of 6cm.

a)

33cm2

b)

66cm2

c)

22cm2

d)

11cm2

44.

A square has a side of length 5cm. Calculate its area.

a)

25cm2

b)

20cm2

c)

15cm2

d)

30cm2

45.

A room tile measures 10cm by 6cm. How many tiles will require to cover a floor which measures 1m by 60cm?

a)

100

b)

20

c)

120

d)

150

46.

The area of a rectangle is 40cm2. If its breadth is 5cm, what is the length?

a)

14cm

b)

10cm

c)

8cm

d)

15cm

47.

A triangle has a base of 6cm and it is 8cm high. Find the area of the triangle

a)

24cm2

b)

40cm2

c)

18cm2

d)

15cm2

48.

•If the perimeter of a square carpet is 36m, calculate the length of a side of the carpet

a)

14m

b)

10m

c)

9m

d)

8m

49.

•The sides of a triangle are 11cm, 10cm and 12cm. Find the perimeter of the triangle

a)

33cm

b)

23cm

c)

43cm

d)

34cm

50.

•A boy walked round a rectangular field measuring 45m in length and 25m in breadth. What distance did he cover?

a)

240cm

b)

120cm

c)

140cm

d)

70cm

51.

What is the radius of the circle?

a)

2cm

b)

5cm

c)

10cm

d)

20cm

52.

The radius is 6 in. What is the diameter?

a)

3 in3\ in  

b)

12 in12\ in  

c)

6π in6\pi\ in  

d)

12π in12\pi\ in  

53.

Mrs VanSciver bought a circular rug. The radius of the rug was 2.5 feet. How does the diameter of the rug compare to the radius? Use 3.14 for π.

a)

The diameter of the rug is twice the radius.

b)

The radius is twice the circumference.

c)

The diameter of the rug is half the radius.

d)

The diameter is twice the circumference.

54.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

55.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
56.

Which equation would you use to find circumference?

a)

πr2

b)

πd

c)

2r

d)

½d

57.

Find the circumference to the nearest foot?

a)

231 feet squared

b)

132 feet squared

c)

321 feet squaed

d)

123 feet squared

58.

Find the circumference with a radius of 5.8 cm. Use 3.14 for pi.

a)

18.21 cm

b)

38.3 cm

c)

36.4 cm

d)

42.7 cm

59.

The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feel did the Ferris wheel rotate with one complete turn? (Think the outside measurement of the circle.) Use 3.14 for π.

a)

785 ft

b)

390 ft

c)

912 ft

d)

543 ft

60.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
61.

Which equation would you use to find the area of a circle?

a)

πr2

b)

dπ

c)

2r

d)

½d

62.

What is the area of the circle?

a)

9.42 meters squared

b)

28.26 meters squared

c)

18.84 meters squared

d)

2.86 meters squared

63.

What is the area of the circle?

a)

62.8 cm squared

b)

314 cm squared

c)

31.4 cm squared

d)

78.5 cm squared

64.

Mario ordered a pizza that had a diameter of 14 inches. What is the approximate area of the pizza?

a)

22 in.2

b)

44 in.2

c)

154 in.2

d)

616 in.2

65.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

66.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

67.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
68.
What is the radius of this circle?
a)
18
b)
36
c)
9
d)
6
69.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
70.
What is the diameter of this circle?
a)
3.5
b)
6.5
c)
6
d)
7
71.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
72.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
73.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
c = 2π15
c)
c = π(15²)
d)
c = π(7.5²)
74.

A Circle has a diameter of 18 meters. What is the circumference of the circle? (Best Choice)

a)

9π or about 28.26 m

b)

18π or about 56.52 m

c)

81π or about 254.34m

d)

324π or about 1017.36 m

75.
Find the circumference of the circle
a)
21.98
b)
153.86
c)
43.96
d)
615.44
76.
The radius is 8 inches.  What is the circumference?
a)
50.24 inches
b)
25.12 inches
c)
12.56 inches
d)
200.96 inches
77.
What is the circumference of a circle with a radius of 21 cm?
a)
131.9 cm
b)
121.9 cm
c)
111.9 cm
d)
141.9 cm
78.
A Circle has a radius of 4.  What is the area of the circle? (Best Choice) (note: units are squared)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
79.
What is π ? (Best Choice)
a)
The ratio of the circumference of any circle to its diameter.
b)
Exactly 3.14
c)
Exactly 3.1415
d)
Exactly 3.141593
80.
Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.
a)
C = π5
b)
C = (2)(π)(2.5)
c)
A = π52
d)
A = π2.52
81.
A ball has a circumference of 9.42 cm. What is the diameter?
a)
29.5788 cm
b)
59.1576 cm
c)
3 cm
d)
1.5 cm
82.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the distance around the cookie?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
83.

Find the radius of a circle if the circumference is 37.7 cm

a)

2cm

b)

3cm

c)

5cm

d)

6cm

84.
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.How far does a rider travel in three complete rotations around the Ferris wheel?
a)
753.6 meters
b)
251.2 meters
c)
125.6 meters
d)
376.8 meters

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