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7.G.4 [551998]StudentClassDate

Read the following and answer the questions below:

Building a Tepee

Building a TepeeTim and Jamila’s class is learning about the Plains Indians, the Native Americans who lived in the Great Plains of North America. There were many different tribes living in the Plains, including the Blackfoot, Cheyenne, and Lakota Sioux.The Plains Indians were dependent on bison, also known as buffalo, for many aspects of their lifestyle. In addition to hunting the bison for food, they used the bison’s hides to make clothes and shelter and their bones to make tools.Some of the tribes were nomadic, meaning they had no fixed home and traveled as a group, often to follow herds of bison. Other tribes lived in villages and farmed the land as well as hunting bison.Originally, the Plains Indians traveled by foot because there were no horses in North America. However, when Europeans came to North America, they brought horses with them, and the animals became part of the Plains Indians’ culture. The horses allowed the tribes to travel greater distances to hunt bison and made it easier for them to transport their belongings.Many of the tribes lived in dwellings called tepees. Tepees were tents in the shape of cones and were usually made from skins of animals, such as bison, and wooden poles.Tepees were useful for a variety of reasons. They were sturdy structures that could be taken down, moved, and put back up very easily. This meant that they were ideal housing for people who move from place to place. Also, they provided shelter from rain, retained warmth in the winter, and kept relatively cool in the summer heat. An image of a traditional tepee is shown below.

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As part of their school activities, Tim and Jamila are making a tepee, which they will put up in the schoolyard. To make the tepee cover, they first will cut out a large semicircle from a big piece of canvas. They made a scale drawing of the tepee cover, as shown below.

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After cutting out the semicircle, Tim and Jamila will decorate the tepee by painting it with traditional Native American designs.The tepee will be supported by several poles. The poles are made from bamboo and will be 14 feet long. Two of the poles will be placed directly across from each other at the base of the tepee. Each pole will form a 48-degree angle with the ground. The poles will meet at the top of the tepee, where they will be tied together.Tim and Jamila are excited to learn about Native American culture and are looking forward to showing their classmates the tepee they build.

1. Read “Building a Tepee” and answer the question.

The semicircle from the scale drawing will be cut in full size from a piece of fabric to be used for the tepee cover. The length of the curved portion of the semicircle will become the circumference of the base of the tepee. What is the circumference of the tepee in feet?

A. 25.12 feet

B. 37.68 feet

C. 50.24 feet

D. 75.36 feet

2. The circumference of a circle is feet (ft). What is the area of the circle?

A. sq ft

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B. sq ft

C. sq ft

D. sq ft

3. Josh is painting a circle on a local softball field. The circle has a diameter of 2.5 feet. What is the approximate circumference of the circle?

A. 4 feet

B. 5 feet

C. 8 feet

D. 16 feet

4. A flower pot has a circumference of 35 inches. What is the approximate length of the radius of the flower pot?

A. 3.3 inches

B. 5.6 inches

C. 6.8 inches

D. 11.1 inches

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5. Paul bought a circular rug for his living room. The rug has a diameter of 11 feet. About how much of Paul’s living room will be covered with the rug?

A. 35 feet2

B. 95 feet2

C. 121 feet2

6. Amy walks around a path each day. A scale model of the path is drawn below.

Abouthow many times does Amy walk around the path if she walks 1 mile each day?

A. 15

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B. 29

C. 46

D. 93

7. The circle below has a diameter of 6 cm.

What is the approximate area of the circle?

A. 38 cm2

B. 36 cm2

C. 28 cm2

D. 19 cm2

8. A wheel has a radius of 4.5 in. What is the approximate circumference of the wheel?

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A. 14 in.

B. 28 in.

C. 64 in.

9. The circumference of a circle is 25 mm. What is the approximate radius of the circle?

A. 4 mm

B. 5 mm

C. 8 mm

D. 12 mm

10. The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? 3.14 for .

A. 4 cm

B. 8 cm

C. 16 cm

D. 32 cm

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11. What is the approximate circumference of a circle with a diameter of 12 inches?

A. 19 in.

B. 24 in.

C. 38 in.

D. 113 in.

12. What is the approximate circumference of the circle?

A. 14.4 cm

B. 22.6 cm

C. 45.2 cm

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D. 162.9 cm

13. The circumference of a circle is 19 in. What is the approximate diameter of the circle?

A. 3 in.

B. 6 in.

C. 10 in.

D. 38 in.

14. What is the approximate circumference of a circle with a radius of 5 in.?

A. 16 in.

B. 20 in.

C. 31 in.

D. 79 in.

15. One side of the square below measures 20 cm.

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What is the approximate area of the shaded region of the square?

A. 43 cm2

B. 86 cm2

C. 100 cm2

D. 314 cm2

16. The circumference of a circle is 31 cm. About how long is the radius of the circle?

A. 5 cm

B. 10 cm

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C. 16 cm

D. 20 cm

17. What is the approximate area of a circle with a radius of 1.6 cm?

A. 3 cm2

B. 5 cm2

C. 8 cm2

D. 10 cm2

18. Mario ordered a pizza that had a diameter of 14 in. What is the approximate area of the pizza?

A. 22 in.2

B. 44 in.2

C. 154 in.2

D. 616 in.2

19. Michael drove a small car 15 laps around a circular track. The

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radius of the track is 44 ft. What is the approximate distance Michael’s car traveled?

A. 700 ft

B. 1,300 ft

C. 2,100 ft

D. 4,100 ft

20. The distance from the center of a small wheel to the edge is 5 inches. What is the circumference of the wheel in inches?

A.

B.

C.

D.

21. Damon is making a tablecloth in the shape of a circle. The tablecloth has a diameter of 4 feet. He is going to add a strip of lace around the circumference of the tablecloth.

Damon estimates how much lace he needs by laying strips of lace across the diameter of the circle. About how many strips of lace that are the length of the diameter will Damon need to have enough lace to go completely around the tablecloth? Show or explain your work.

22. What is the approximate area of a circle with a diameter of 6.2

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inches?

A. 9.7 square inches

B. 19.5 square inches

C. 30.2 square inches

D. 120.8 square inches

23. A circular mirror has a circumference of 85 inches. Which is closest to the diameter of the mirror? Use 3.14 for .

A. 5 inches

B. 14 inches

C. 27 inches

D. 54 inches

24. A man holds a rope that leads a horse. The horse walks in a circular path as shown by the dashed line, and the man stands in the center. The

length of the rope from the man to the horse is feet. How far does the horse walk in one trip around the path?

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A. 30 feet

B. 60 feet

C. 119 feet

D. 283 feet

25. The circumference of a circle is centimeters (cm). What is the radius of the circle?

A. 11 cm

B. 22 cm

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C. 44 cm

D. 88 cm

26. A circle has an area of square centimeters. What is the circumference of the circle in centimeters?

A.

B.

C.

D.

27. What is the approximate area of the figure below?

A. 24 cm2

B. 37 cm2

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C. 48 cm2

D. 74 cm2

28. A round table has a radius of 15 in. A round tablecloth hangs 2 in. over the edge of the entire table. What is the approximate area of the tablecloth?

A. 107 in.2

B. 707 in.2

C. 908 in.2

D. 1,134 in.2

29. Abby drew a map of her rectangular bedroom.

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Abby drew a larger version of the map using a ratio of 1 to 4.

Part A The length of Abby’s bed is 6 inches on the larger map. In inches, what is the length of the bed, x, on Abby’s original map?

Part B In square inches, what is the area of Abby’s bedroom on the larger map?

Part C The area of Abby’s rug is 0.4375 square inches on the original map. In square inches, what is the area of Abby’s rug on the larger map?

30. A marble game is played on a round board.

Part A The circumference of the board is 29.85 inches. To the nearest tenth of an inch, what is the diameter of the board?

Part B What is the area of the board to the nearest square inch?

31. Jack cut out two fabric circles of different sizes in his art class. The larger circle has a circumference of 22 inches, and the smaller circle has a

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circumference of 14 inches. What is the total area, to the nearest hundredth of a square inch, of the two circles?





32. The radius of the wheel is 12 inches. What is the approximate circumference of the wheel?

A. 19 inches

B. 24 inches

C. 38 inches

D. 75 inches

33. What is the approximate area of the circle below?

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A. 19 units2

B. 28 units2

C. 32 units2

34. The circumference of a circle is 16 ft. What is the approximate area of the circle?

A. 20 ft2

B. 50 ft2

C. 80 ft2

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D. 200 ft2


A. 19 ft2

B. 38 ft2

C. 75 ft2

D. 113 ft2

36. The radius of a circle is 12 cm. What is the approximate circumference of the circle?

A. 75 cm

B. 38 cm

C. 24 cm

37. Susie is building a circular table with a diameter of 2 feet. She

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wants to put a trim around the edge of the table. She can buy trim in whole feet lengths only. Which is the least amount of trim Susie can buy and still have enough to go around the edge of the table?

A. 3 feet

B. 4 feet

C. 6 feet

D. 7 feet

38. Tom has a circular clock with a circumference of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch?

A. 25.40 inches

B. 12.70 inches

C. 6.35 inches

D. 3.56 inches

39. A circle has a circumference of about 54 in. What is the approximate measure of the diameter?

A. 25 in.

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B. 17 in.

C. 7 in.

40. What is the approximate length of the radius of a circle with a circumference of 63 inches?

A. 4 inches

B. 8 inches

C. 10 inches

D. 20 inches

41. The radius of a bicycle wheel is 12 in. What is the approximate circumference of the wheel?

A. 38 in.

B. 75 in.

C. 144 in.

42. Jalen is making a circular pizza with a circumference of 44 inches.

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What is the approximate radius of Jalen’s pizza?

A. 7 inches

B. 14 inches

C. 22 inches

D. 28 inches

43. What is the approximate area of a circle with a radius of 30 yards?

A. 900 square yards

B. 1,980 square yards

C. 2,830 square yards

D. 8,900 square yards

44. A radio broadcast can be heard within a 50-mile radius. What is the approximate area the radio broadcast can be heard?

A. 157 square miles

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B. 314 square miles

C. 1,963 square miles

D. 7,850 square miles

45. What is the approximate difference in the circumference of a circle with a radius of 4 ft and the circumference of a circle with a radius of 6 ft?

A. 2 ft

B. 6 ft

C. 13 ft

D. 20 ft

46. Megan wants to put a ribbon around the bottom of a vase. The bottom of the vase is shaped like a circle with a radius of 4.5 cm. Which is the minimum amount of ribbon Megan needs for the bottom of the vase?

A. 9 cm

B. 15 cm

C. 20 cm

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D. 29 cm

47. A spinner travels around in a circle. The radius of the spinner is 3 inches. Mike spins the spinner and it travels completely around the circle 5 times. About how far did the tip of the spinner travel?

A. 15 inches

B. 30 inches

C. 95 inches

D. 140 inches

48. What is the approximate area of this circle?

A. 11 ft2

B. 22 ft2

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C. 38 ft2

D. 49 ft2

49. What is the approximate area of the shaded region in the figure below?

A. 10.0 m2

B. 8.8 m2

C. 2.8 m2

50. The diameter of a wheel from a bicycle is 66 cm. About how far will the wheel travel in one complete turn?

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A. 104 cm

B. 207 cm

C. 415 cm

D. 3,421 cm

51. Joe made a model of a door out of a piece of cardboard. The amount of cardboard used for the square, bottom portion of the model is shown in the diagram below.

Approximately how much cardboard did he use in all to make the model?

A. 828 square inches

B. 1,092 square inches

C. 1,400 square inches

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D. 2,016 square inches

52. A circle has a radius of 6 feet. What is the approximate circumference?

A. 12 feet

B. 19 feet

C. 38 feet

D. 113 feet

53. A circle has a radius of 3.75 meters. What is the approximate area of the circle?

A. 12 square meters

B. 14 square meters

C. 24 square meters

D. 44 square meters

54. A floor in Phillip’s house is rectangular and measures 12 feet (ft) by 14 feet. He wants to put a circular rug on the floor. Which is closest to the area of the largest circular rug he can use? Use 3.14 for .

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A. 113 ft2

B. 154 ft2

C. 452 ft2

D. 615 ft2

55. Each block on the graph below represents one unit.

What is the approximatearea of the circle?

A. 100 units2

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B. 88 units2

C. 79 units2

56. The circumference of a circle is 1,250 cm. What is the approximate length of the diameter of the circle?

A. 200 cm

B. 300 cm

C. 400 cm

D. 500 cm

57. Latisha swims in a circular swimming pool at a local park. The circumference of the pool is 80 ft. For exercise, she swims across the center of the pool and back 20 times each day. About how far does she swim each day?

A. 510 ft

B. 1,020 ft

C. 1,600 ft

D. 3,200 ft

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58. A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24 cm. What is the approximate difference in the circumferences of the two circles?

A. 19.5 cm

B. 28.5 cm

C. 61 cm

D. 90 cm

59. The radius of a circle is 5 inches. What is the approximate circumference of the circle?

A. 8 inches

B. 10 inches

C. 16 inches

D. 31 inches

60. A circle has its center at (3,–2). The radius of the circle extends to the point (3, 2). What is the approximate circumference of the circle?

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A. 8 units

B. 13 units

C. 25 units

D. 50 units

61. The radius of the larger circle is 5 meters. The radius of the smaller circle is 2.5 meters.

What is the approximatearea of the shaded region of the larger circle?

A. 5 meters2

B. 20 meters2

C. 59 meters2

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D. 79 meters2

62. The diameter of a circle is 8 cm. What is the approximate area of the circle?

A. 25 cm2

B. 50 cm2

C. 201 cm2

63. Yolanda has a circular tablecloth. She wants to put a ribbon around the outside

edge. She knows that the area of the tablecloth is . Which expression would help her find the number of meters of ribbon she will need to go around the outside edge of the tablecloth?

A.

B.

C.

D.

64. A circular pool has a radius of 6 ft. What is the approximate circumference of the pool?

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A. 19 ft

B. 38 ft

C. 113 ft

D. 452 ft

65. Circle M has a radius of 4 cm. Circle P has a radius of 6 cm. What is the approximate difference between the areas of the two circles?

A. 13 cm2

B. 50 cm2

C. 63 cm2

D. 113 cm2

66. A circular lollipop has a radius of 1.5 inches. What is the area of the lollipop to the nearest hundredth of a square inch?




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67. The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the nearest hundredth of an inch?

A. 100.49 inches

B. 89.03 inches

C. 50.24 inches

D. 25.12 inches

68. A clock face has a diameter of 14 inches. What is the area of the face of the clock in square inches?

A.

B.

C.

D.

69. A bicycle has a tire with a 20-inch diameter. Another bicycle has a tire with a 26-inch diameter. About how much farther will the larger tire roll in one revolution compared to one revolution of the smaller tire?

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A. 6 inches

B. 9 inches

C. 12 inches

D. 19 inches

70. Mrs. Harper made a pizza with a 9-inch radius. What is the approximate circumference of the pizza?

A. 28 inches

B. 57 inches

C. 162 inches

D. 254 inches

71. Circle X has a radius of 7 in.

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What is the approximate circumference of circle X?

A. 14 in.

B. 22 in.

C. 44 in.

72. A circus rents a rectangular building that has floor dimensions of 50 by 100 feet. The building can fit 2 circus rings shaped like circles, each with a diameter of 42 feet.

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To the nearest square foot, how many square feet of the floor are not taken up by the 2 circus rings? Use 3.14 for .

A. 2,231

B. 2,769

C. 3,615

D. 4,736

73. A circle has an area of approximately 615 square millimeters. What is the diameter of the circle to the nearest millimeter?

A. 196

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B. 98

C. 28

D. 14

74. Paige wants to sew lace around the edge of a round tablecloth. The tablecloth has a diameter of 6 feet. About how much lace will Paige need?

A. 9 feet

B. 19 feet

C. 28 feet

D. 38 feet

75. What is the approximate circumference of the circle below?

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A. 9 units

B. 19 units

C. 28 units

D. 32 units

76. The circumference of a plate is about 41 inches. What is the approximate area of the plate?

A. 129 inches2

B. 133 inches2

C. 417 inches2

D. 535 inches2

77. Part A. Jeremy wants to put a fence around a circular swimming pool. He knows the area of the pool's top surface is square meters. How much fencing does Jeremy need for the pool? Be sure to show all work.

Part B. A second pool has an area on its top surface that is 20% greater than the pool in part A. What is the measure of the radius, in meters, of the second pool? Be sure to show all work.

Part C. What is the cost for fencing the pool in part B if one meter of fence cost $65?

Use words, numbers, and/or pictures to show your work.

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78. Laura is building a fence around her pond. The pond has a diameter of 5 ft. Which is the minimum amount of fence Laura will need?

A. 8 ft

B. 16 ft

C. 20 ft

D. 25 ft

79. The diameter of the circle below measures 7 cm.

What is the approximate area of the circle?

A. 14 cm2

B. 22 cm2

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C. 38 cm2

D. 154 cm2

80. The radius of a truck wheel is 3 ft. What is the approximate circumference of the truck wheel?

A. 6 ft

B. 9 ft

C. 19 ft

D. 28 ft

81. Amy baked a circular cake with a diameter of 12 inches. She put 9 candles evenly spaced around the edge of the cake. About how far apart were the candles?

A. 1 inch

B. 2 inches

C. 3 inches

D. 4 inches

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82. The diameter of a tractor’s wheel is 4 ft. Approximately how many complete turns will the wheel make if it travels 64 ft?

A. 4

B. 5

C. 10

D. 16

83. Denise wants to irrigate a circular field. She will irrigate the field with a straight pipe, as shown by the dashed line. The pipe will rotate about the center of the field.

She knows that the circular field has an area of 125,600 square feet (sq. ft). What is the length of the irrigation pipe? Use 3.14 for .

A. 200 ft

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B. 400 ft

C. 628 ft

D. 20,000 ft


A. 44 in.2

B. 154 in.2

C. 616 in.2

85. The diameter of a circle on a coordinate plane has endpoints at (2, 3) and (2, 8). What is the approximate area of the circle?

A. 16 units2

B. 20 units2

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C. 25 units2

D. 79 units2

86. Circle J and circle K are shown below.

What is the approximate difference in the circumferences of circle J and circle K?

A. 150 ft

B. 300 ft

C. 471 ft

D. 942 ft

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87. Tricia made a circular mat from a square piece of cloth.

Which is closest to the circumference, in inches, of the circular mat?

A. 44 inches

B. 88 inches

C. 154 inches

D. 616 inches

88. What is the approximate circumference of the circle below?

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A. 9 cm

B. 19 cm

C. 36 cm

89. James wants to build a fence around a circular garden that has a diameter of 10 feet. How many feet of fencing will he need? Round your answer to the nearest hundredth.

90. John painted a circle on the athletic field with a radius of 25 ft. What is the approximate circumference of John’s circle?

A. 79 ft

B. 157 ft

C. 491 ft

D. 1,963 ft

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91. A container has a circular lid with a circumference of 33 cm. What is the approximate diameter of the lid?

A. 5 cm

B. 10.5 cm

C. 16.5 cm

D. 21 cm

92. What is the area of a circle with a circumference of 56.52 inches (in.)? Use 3.14 for .

A. 177.47 in.2

B. 254.34 in.2

C. 508.68 in.2

D. 1,017.36 in.2

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