Free Printable Area of Circle Word Problems

1.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the area?

a)

A = 15²π

b)

A = 2π15

c)

A = 7.5²π

d)

A = 15 π

2.

The radius of this pizza is 9 ½ in. What is the approximate area of the pizza?

a)

81 in²

b)

29.83 in²

c)

59 ⅔ in²

d)

283 ½ in²

3.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot. (Hint: the 3 sections together are 1/2 a circle, so each section is how much of the circle?)

a)

1 sq. ft

b)

13 sq. ft

c)

3 sq. ft

d)

26 sq. ft

4.

This crop circle has a diameter of 118 ft. What is the approximate area of the crop circle?

a)

370.5 ft²

b)

43,721.4 ft²

c)

10,930.34 ft²

d)

185.26 ft²

5.

Jalen skates at a circular rink that has a radius of 4 yards. If he uses 3.14 for

\pi,

what area would he estimate for the skating rink?

a)

50.24 $yds^2$

b)

25.12 $yds^2$

c)

38.92 $yds^2$

d)

4.13 $yds^2$

6.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

28.26 m²

7.

Ms. Green is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

8.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)

a)

50.24 in.²

b)

200.96 in²

c)

12.56 in.²

d)

78.88 in^.2

9.

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 = π x 5 x 5

d)

A = π x 2.5 x 2.5

10.

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

11.

Luke'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

12.

Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm. What is the approximate difference in the areas of their circles?

a)

2,826 cm²

b)

1,570 cm²

c)

1,256 cm²

d)

314 cm²

13.

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

a)

$78.5\ ft^2$

b)

$39.25\ ft^2$

c)

$15.7\ ft^2$

d)

$80.1\ ft^2$

14.

A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around in?

a)

$18.84\ m^2$

b)

$84.78\ m^2$

c)

$28.26\ m^2$

d)

$29.01\ m^2$

15.

A storm is expected to hit 7 mi in every direction from a small town. What is the area that the storm will affect?

a)

$43.96\ mi^2$

b)

$153.86\ mi^2$

c)

$76.5\ mi^2$

d)

$152.4\ mi^2$

16.

Find the area of a circle with a radius of 3.5 cm. (Do not round. Enter your answer to three decimal places.)

a)

$38.4\ cm^2$

b)

$38.46\ cm^2$

c)

$10.99\ cm^2$

d)

$38.465\ cm^2$

17.

If the diameter of a circle is 9 cm, then what is the area? (Do not round. Enter your answer to three decimal places.)

a)

$63.585\ cm^2$

b)

$63.60\ cm^2$

c)

$63\ cm^2$

d)

$63.586\ cm^2$

18.

A spinner has 6 sectors, half of which are red and half of which are black. If the radius of the spinner is 3 inches, what is the area of the red sectors?

a)

$14.13\ in^2$

b)

$1.413$

c)

$14.13\ inches$

d)

$14.13$

19.

A circle has a diameter of 26 units. Keisha said the area of the circle is 2,123.27 square units( rounded to the nearest hundredth). Find the correct area of the circle.

a)

$21233$

b)

$531$

c)

$530.93$

d)

$2,123.27$

20.

Kiyo used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard?

a)

15.7

b)

31.4

c)

78.5

d)

157.1

21.

What is Mr.Brown's favorite candy?

a)

Gummy bear

b)

Green Apple sour straws

c)

Snickers

d)

He doesn't eat candy

22.

What is Ms. E's Favorite candy ?

a)

Water

b)

Sour Patch Kids

c)

Sour Straws

d)

Gummy Bears

Area of Circle Word Problems

Total questions: 22

Worksheet time: 11mins

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