Circles: Parts, Circumference & Area (Practice Test)

1. Which statement correctly describes a radius?

A) A segment that connects two points on a circle and passes through the center.
B) The distance around a circle.
C) A segment that connects any two points on a circle.
D) A segment from the center of a circle to a point on the circle.

2. A line segment connects two points on a circle and passes directly through the center. What is this segment called?

A) Circumference
B) Radius
C) Chord
D) Diameter

3. Which statement correctly compares a radius and a diameter?

A) A radius and diameter always have the same length.
B) A diameter is twice the length of a radius.
C) A radius is twice the length of a diameter.
D) A diameter is half the length of a radius.

4. A circle has a diameter of 18 centimeters. What is the radius?

A) 18 cm
B) 9 cm
C) 36 cm
D) 6 cm

5. A circle has a radius of 6 inches. Which expression could be used to find its circumference?

A) 2(3.14)(6²)
B) 2(3.14)(6)
C) 3.14(6²)
D) 3.14(12²)

6. Circle A has a radius of 4 meters. Circle B has a radius of 8 meters. How does the circumference of Circle B compare with Circle A?

A) Circle B's circumference is half as large.
B) Circle B's circumference is twice as large.
C) Circle B's circumference is four times as large.
D) Circle B's circumference is the same.

7. A circular track has a diameter of 25 meters. Which equation correctly represents the circumference?

A) C = 3.14(25²)
B) C = 3.14(25)
C) C = 2(3.14)(25)
D) C = 25 ÷ 3.14

8. A circle has a circumference of 62.8 inches. What is the diameter?

A) 15 inches
B) 31.4 inches
C) 10 inches
D) 20 inches

9. A circular swimming pool has a radius of 10 feet. What is the circumference?

A) 62.8 ft
B) 31.4 ft
C) 314 ft
D) 100 ft

10. A circular garden has a diameter of 14 feet. What is the area?

A) 43.96 ft²
B) 87.92 ft²
C) 615.44 ft²
D) 153.86 ft²

11. A circular table has a radius of 5 feet. Which answer gives both the circumference and area?

A) C = 31.4 ft; A = 78.5 ft²
B) C = 78.5 ft; A = 31.4 ft²
C) C = 31.4 ft²; A = 78.5 ft
D) C = 15.7 ft; A = 78.5 ft²

12. A circular playground has a diameter of 20 meters. What is the area?

A) 1,256 m²
B) 62.8 m²
C) 314 m²
D) 125.6 m²

13. A circular fountain has a circumference of 31.4 feet. What is the area?

A) 78.5 ft²
B) 314 ft²
C) 50 ft²
D) 25 ft²

14. A circular flower bed has a radius of 8 feet. How many feet of border are needed to go around it?

A) 64 ft
B) 200.96 ft
C) 25.12 ft
D) 50.24 ft

15. A pizza has a diameter of 16 inches. What is the area?

A) 50.24 in²
B) 803.84 in²
C) 100.48 in²
D) 200.96 in²

16. Two students are solving a circle problem. Student A: "I used C = πr² to find the circumference." Student B: "I used A = πr² to find the area." Which student used the correct formula?

A) Neither student
B) Both students
C) Student B only
D) Student A only

17. A circular playground has a radius of 7 meters. The school wants to install fencing around the playground and new flooring over the entire playground. Which measurements should the school calculate?

A) Circumference for fencing and area for flooring
B) Radius for fencing and diameter for flooring
C) Diameter for fencing and radius for flooring
D) Area for fencing and circumference for flooring

18. A circular race track has a diameter of 30 meters. A student calculates: C = 3.14(30) = 94.2 meters Which statement best describes the student's work?

A) The student is incorrect because the diameter must be squared.
B) The student is incorrect because circumference is measured in square meters.
C) The student is incorrect because circumference equals π × radius.
D) The student is correct because circumference equals π × diameter.

19. A circle has a radius of 3 inches. Another circle has a radius of 6 inches. Which statement is true?

A) The second circle has four times both the circumference and area.
B) The second circle has twice the circumference and four times the area.
C) The second circle has four times the circumference and twice the area.
D) The second circle has twice the circumference and twice the area.

20. A circular pond has a circumference of 62.8 meters. A landscaper wants to know how much surface area the pond covers. Which sequence should the landscaper use?

A) Find the diameter → find the radius → use A = πr²
B) Find the radius → use A = πd² → find the circumference
C) Divide the circumference by 2 → use A = πd
D) Use A = πd² → find the circumference

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