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Worksheets

DCA Circles & Volume

Total questions: 40

Worksheet time: 2hrs 11mins

Name
Class
Date
1.

What is the definition of radius?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

2.

What is the definition of diameter?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

3.

What is the definition of circumference?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

4.
a)

2.5

b)

5

c)

10

d)

15

5.
a)

2.5

b)

5

c)

10

d)

1.25

6.

What is the approximate value of π\pi  ?

a)

3

b)

3.14  \ldots  

c)

3.5 \ldots  

d)

2.71828 \ldots  

7.

What does π\pi  represent?

a)

The Area of a Circle

b)

How many radii make up the diameter

c)

How many diameters make up the circumference

8.

Calculate the circumference to the nearest tenth.

a)

31.4

b)

62.8

c)

15.7

d)

314.2

9.

Calculate the circumference to the nearest tenth.

a)

62.8

b)

31.4

c)

125.7

d)

1256.6

10.

Calculate the area to the nearest tenths place.

a)

36

b)

113.1

c)

37.7

d)

18.8

11.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
12.

A cruise ship has a large, circular window. It has a diameter of 6 meters. How many square meters of glass is the window made of?

a)

31.25 m2

b)

29.55 m2

c)

30.36 m2

d)

28.27 m2

13.
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
14.
Danielle wants to make a cookies for 3 friends. The radius of a cookie is 5 inches. If she wants to ice ALL 3 of the cookies, how many square inches of cookies must she cover with icing?
a)
47.1 in2
b)
235.5 in2
c)
78.5 in2
d)
15.7 in2 
15.

Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the circumference of her earring in terms of  π\pi  ?

a)

12.25 π\pi   cm

b)

3.5 π\pi   cm

c)

38.47 π\pi   cm

16.

A line connecting 2 points of a circle but does not go through the center is called the....

a)

radius

b)

diameter

c)

chord

d)

supplementary

17.

What is line DE called?

a)

Chord

b)

Radius

c)

Diameter

d)

Circumference

18.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
19.

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

a)

πr2

b)

c)

2r

d)

½d

20.

Which equation would you use to find circumference?

a)

πr2

b)

πd

c)

2r

d)

½d

21.

How it is called that point A, which is in the middle of the circle?

a)

radius

b)

diameter

c)

circumference

d)

center

22.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
23.
Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden? 
a)
80in
b)
40in2
c)
40cm2
d)
80in2
24.
What is the approximate area of the shaded region?
a)
70 cm2
b)
12 cm2
c)
82 cm2
d)
58 cm2
25.

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approximately how many square feet of wall will the circle cover?

a)

200.96 ft2

b)

50.24 ft2

c)

25.12 ft2

d)

20.96 ft2

26.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
27.

A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?

a)

314 in2

b)

31.4 in2

c)

7.85 in2

d)

78.5 in2

28.

A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?

a)

78.5 ft278.5\ ft^2

b)

39.25 ft239.25\ ft^2

c)

15.7 ft215.7\ ft^2

d)

80.1 ft280.1\ ft^2

29.

A school’s art teacher designs a circular flower bed inside a rectangular sandbox. The sandbox is 6 feet wide and 10 feet long.

If you're trying to figure out how much sand will fit, what are you finding?

a)

circumference

b)

area

30.

The courtyard outside East Middle School is in the shape of a rectangle and half-circle. What is the perimeter of the courtyard?

*To find the circumference of the half circle, find the full circumference then divide it by 2!

a)

328.5 meters

b)

407 meters

c)

500 meters

d)

7,850 meters

31.

What is the formula for the volume of a cylinder?

a)

V = πr²h

b)

V = 2πrh

c)

V = πr² + h

d)

V = πr²h²

32.

Find the volume of the cylinder. Use 3.14 for pi. Round to the nearest tenths.

a)

169.6

b)

1526

c)

1017.4

d)

381.5

33.

Find the volume. Use 3.14 as pi. Round to the nearest tenths.

a)

94.2

b)

282.6

c)

942

d)

70.7

34.

Find the Volume of the Cylinder

a)

9.73 mm3

b)

368.3 mm3

c)

10 mm3

35.

Calculate the volume.

Round your answer to the nearest tenth.

Use 3.14 for pi.

a)

5572.5 cm3

b)

506.6 cm3

c)

4126.7 cm3

d)

1393.1 cm3

36.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
37.

What is the formula for VOLUME of a CONE?

a)

V = 13bhV\ =\ \frac{1}{3}bh

b)

V = BhV\ =\ Bh

c)

V = πr2V\ =\ \pi r^2

d)

V = bhV\ =\ bh

38.

What is the volume of the cone to the nearest tenth (use the π\pi button)? 

a)

157.1  m3m^3   

b)

31.4  m3m^3  

c)

471.2  m3m^3  

d)

208.6  m3m^3  

39.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
40.

When you have an answer in exact for it in terms of pi or rounded to the nearest hundredth?

a)

Terms of Pi

b)

Rounded to the Nearest Hundredth