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Worksheets

Ratio of Circumference and Diameter Equal Pi

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

π is equal to circumference divided by _________________ .

a)

radius

b)

diameter

c)

area

d)

itself

2.

π is a ratio.

It compares a circle's circumference

to its _________________.

a)

radius

b)

diameter

c)

area

d)

itself

3.

π is a ratio.

It compares a circle's ____________

to its diameter.

a)

radius

b)

diameter

c)

circumference

d)

itself

4.

The symbol for Pi is

a)

π

b)

Σ

c)

Ψ

d)

5.

What symbol is used to represent the ratio of a circle's circumference to its diameter?

a)

Pi

b)

Omega

c)

Alpha

d)

Sigma

6.

The ratio, circumferencediameter\frac{circumference}{diameter}  , is the same for every circle and is represented by the Greek letter known as

a)

pi

b)

beta

c)

alpha

d)

sigma

7.

a)

C6.5\frac{C}{6.5}

b)

6.5C\frac{6.5}{C}

c)

C13\frac{C}{13}

d)

13C\frac{13}{C}

8.

a)

43.967\frac{43.96}{7}

b)

43.9614\frac{43.96}{14}

c)

743.96\frac{7}{43.96}

d)

1443.96\frac{14}{43.96}

9.

We use this value for PI:

a)

3.14

b)

314

c)

3.41

d)

31.519875

10.

The diameter of a circular pool is 24.8 feet and the circumference is 77.9 feet. What should you do to find π?

a)

77.9 / 24.8

b)

24.8 / 77.9

11.

If we know the circumference of a circle is 54.3 meters, what should we do to find the diameter?

a)

Multiply C x π

b)

Divide C / π

12.

What is the approximate numerical value of this sign?

a)

3.11

b)

3.14

c)

4.13

d)

6.28

13.

What is the distance around the outside of the circle called?

a)

Area

b)

Diameter

c)

Circumference

d)

Chord

14.

In words, describe this formula

a)

The area of a circle is equal to pi times the radius squared

b)

The circumference of a circle is equal to the pi times the diameter.

c)

The circumference of a circle is equal to pi times the radius squared

d)

The area of a circle is equal to pi times the diameter

15.

Find Circumference. Watch the units.

a)

28.26 ft2

b)

28.26 ft

c)

28.26

d)

56.52 ft

16.

Find Circumference. Watch the units.

a)

37.68 m2

b)

37.68 m

c)

18.84 m

d)

18.84 m2

17.

Find Circumference.

a)

87.92 cm

b)

43.96 cm

c)

21.98 cm

d)

3.14 cm

18.

Find Circumference. Round to the nearest hundredths.

a)

40.69 yd

b)

5.65 yd

c)

11.30 yd

d)

22.61 yd

19.

Find Circumference. Round to nearest hundredths

a)

14.13 km

b)

56.52 km

c)

28.26 km

d)

63.59 km

20.

Choose the answer which best describes how these formulas are related to each other.

a)

They both solve for circumference. In the first formula it uses diameter, in the second formula it uses two times the radius, which is the same thing as diameter.

b)

They both solve for circumference, in the first uses diameter and the second uses pi.

c)

They both solve for area. In the first formula it uses diameter, in the second formula it uses two times the radius, which is the same thing as diameter.

d)

They both use circumference to solve for pi. One uses radius, the other uses diameter.