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Worksheets

Circles

Total questions: 37

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
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
2.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
3.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
4.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m 
5.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
6.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
7.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m 
b)
9.42 m
c)
12 m
d)
18.84 m
8.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
9.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
10.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
11.
The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?
a)
area
b)
circumference
c)
neither
12.
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
13.

If the circumference of a circle is 31.4 cm, what is the radius?

a)

5 cm

b)

10 cm

c)

15.7 cm

d)

20 cm

14.

A circle has an area of 78.5 square cm. What is the radius of the circle?

a)

5 cm

b)

10 cm

c)

15 cm

d)

20 cm

15.

A circular garden has a circumference of 62.8 meters. What is the diameter of the garden?

a)

10 meters

b)

20 meters

c)

30 meters

d)

40 meters

16.

Find the area of a circle with a diameter of 14 cm.

a)

49π cm 2^2

b)

154 cm 2^2

c)

77π cm 2^2

d)

196π cm 2^2

17.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
18.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
19.
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
20.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
21.

Match the following

a)

The distance from the middle the edge of a circle.

1.

Radius

b)

The distance from one side of the circle to the other.

2.

Diameter

c)

2πr2\pi r

3.

Circumference

(radius)

d)

πd\pi d

4.

Circumference

(diameter)

e)

πr2\pi r^2

5.

Area

22.

When finding area of a circle, we have to use formula πr2\pi r^2 , the value of π\pi  is

a)

3.11

b)

3.12

c)

3.14

d)

3.15

23.
If you are going to paint the entire center circle of a basketball court, do you need to know the area or circumference of the circle?
a)
Area
b)
Circumference
c)
Neither
24.

What is the length of the missing side?

a)

149\sqrt{149}

b)

51\sqrt{51}

c)

149

d)

51

25.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

26.

Level 1

The Pythagorean Theorem is

a2 + b2 + c2

a)

false

b)

true

27.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

28.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
29.

If a right triangle has side lengths 6, 10 and 3, which side is the hypotenuse?

a)

6

b)

10

c)

3

d)

15.7

e)

None of them

30.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

31.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
32.

What is the formula for the Pythagorean theorem?

a)

a2−b2=c2a^2-b^2=c^2

b)

a2+b2=c2a^2+b^2=c^2

c)

a+b=ca+b=c

d)

c2+a2=b2c^2+a^2=b^2

33.

What is the missing side length?

a)

8.8

b)

7.9

c)

6.4

d)

10

34.

What is the name of side "c"?

a)

hypotenuse

b)

leg

35.

What are sides "a" and "b"?

a)

legs

b)

hypotenuses

36.

True or False: The hypotenuse is across from the right angle.

a)

true

b)

false

37.

What is the measurement of the missing side length?

a)

13

b)

15

c)

16

d)

12

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