Circles/Circumference/Area Test

Submitted by Amy Beavers

MAED 5040-5070-8B

July 11, 2011

Circles Test Name ______

Circumference/Area

Calculator Active

Clearly label the following in the circle to the right.

1. Point B as the center

2.  Diameter AC

3.  Radius BD

4.  Chord EF

Find the following. Show all work. Round each answer to the tenths place and use 3.14 for pi when necessary.

5.  A circle has a radius of 12 inches. Find:

a.)  The diameter of the circle

b.)  The circumference of the circle

c.)  The area of the circle

6.  A circle has a diameter of 1.8 kilometers. Find:

a.)  The radius of the circle

b.)  The circumference of the circle

c.)  The area of the circle

Choose the correct answer for each of the following problems. Show all work. Use 3.14 for pi.

7.  What expression would you use to find the area of a circle with a diameter of 24?

a.  3.14(24)(24)

b.  3.14(24)

c.  3.14(12)(12)

d.  3.14(12)

8.  What expression would you use to find the area of a circle with a radius of 2?

a.  3.14(2)(2)

b.  3.14(1)(1)

c.  3.14(2)

d.  3.14(1)

9.  Tom wants to cover the top of a circular table with material. The diameter of the table is 18 inches. How many square inches of material are needed?

a.  254.34 in.2

b.  56.52 in.2

c.  1,017.36 in.2

d.  508.68 in.2

10. What is the circumference of this circle?

a.)  45.3416 cm.

b.)  181.3664 cm.

c.)  23.864 cm.

d.)  11.932 cm.

11. The circumference of a circle is 10.99 inches. What

is the diameter of the circle?

a.  1.75 in.

b.  3.5 in.

c.  7 in.

d.  5.495 in.

Solve each problem. Round answers to the tenths place and use 3.14 for pi. Show all work.

12. Joe’s cow is tied to a post with a piece of rope that is

15 feet long. What is the area in which the cow can

graze?

13. A round game table has a diameter of 1 m. How

much plastic laminate is needed to cover the top of

the table?

14. The diameter of the earth at the equator is about

8,000 mi. Based on this figure, how far is it around

the earth?

15. Radio Station KROQ broadcasts in all directions to a

distance of 40 miles. How many square miles are in

the station’s broadcast area?

16. World Record: The world’s largest Ferris Wheel

was built in London in 1897. The wheel had a

radius of 150 feet. How far would you travel in one

turn of this wheel?

Student Answer Sheet Name ______

Circles Test

Circumference/Area

Clearly label the following in the circle to the right.

1. Point B as the center

2. Diameter AC

3. Radius BD

4. Chord EF

Find the following. Show all work. Round each answer to the tenths place and use 3.14 for pi when necessary.

5a.
Diameter = ______/ 5b. Circumference = ______/ 5c.
Area = ______
6a.
Radius = ______/ 6b. Circumference = ______/ 6c.
Area = ______

Name ______

Choose the correct answer for each of the following problems. Show all work. Use 3.14 for pi.

7.
______Answer / 8.
______Answer / 9.
______Answer
10.
______Answer / 11.
______Answer

Name ______

Solve each problem. Round answers to the tenths place and use 3.14 for pi. Show all work.

12.
______Answer / 13.
______Answer / 14.
______Answer
15.
______Answer / 16.
______Answer

Answer Key

Circles Test

Circumference/Area

Clearly label the following in the circle to the right.

Check circle for each of the following.

1. Point in center labeled B

2. Line segment AC going all the way

across the circle and passing through the

center point

3. Line segment BD going from the center

to the outside of the circle

4. Line segment EF having both endpoints on the

circle.

Find the following. Show all work. Round each answer to the tenths place and use 3.14 for pi when necessary.

5a.
Diameter = 24 in.
diameter = radius(2)
12(2) / 5b. Circumference =
75.4 in.
C = pi(diameter)
3.14(24)
75.36 / 5c.
Area = 452.2 in.2
A = pi(r2)
3.14(122)
452.16
6a.
Radius = 0.9 km.
radius = diameter/2
1.8/2
0.9 / 6b. Circumference =
5.7 km.
C = pi(diameter)
3.14(1.8)
5.652 / 6c.
Area = 2.5 km.2
A = pi(r2)
3.14(0.92)
2.5434

Name ______

Choose the correct answer for each of the following problems. Show all work. Use 3.14 for pi.

7.
If d = 24, then r = 12.
Area = pi(r2)
3.14(122) or
3.14(12)(12)
C Answer / 8.
Area = pi(r2)
3.14(22) or
3.14(2)(2)
A Answer / 9.
If d = 18, then r = 9.
Area = pi(r2)
3.14(92)
254.34
A Answer
10.
d = 7.6
C = pi(d)
3.14(7.6)
23.864
C Answer / 11.
C = pi(diameter)
10.99 = 3.14(d)
10.99/3.14 = d
d = 3.5
B Answer

Name ______

Solve each problem. Round answers to the tenths place and use 3.14 for pi. Show all work.

12.
r = 15
Area = pi(r2)
3.14(152)
706.5
706.5 ft.2 Answer / 13.
If d = 1, then r = 0.5.
Area = pi(r2)
3.14(0.52)
0.785
0.8 m.2 Answer / 14.
C = pi(d)
3.14(8000)
25,120
25,120 mi. Answer
15.
r = 40
Area = pi(r2)
3.14(402)
5,024
5,024 mi.2 Answer / 16.
If r = 150, then d = 300.
C = pi(d)
3.14(300)
942
942 ft. Answer