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Grade 7 Math · Circumference and Area of Circles

Grade 7 Circumference and Area of Circles Practice Test

Build Grade 7 Math skills with five 10-question practice tests on circumference, area, radius, diameter, pi, scale changes, and real-world circle problems.

Circumference and Area of Circles Practice Tests

These Grade 7 Math practice tests help students calculate circle circumference and area. Students work with radius, diameter, exact answers using π, decimal approximations, scale changes, and real-world circle measurements.

Skills covered

  • Using C = 2πr and C = πd for circumference
  • Using A = πr² for area
  • Converting between radius and diameter
  • Using exact π expressions and decimal approximations
  • Finding missing radius or diameter from circumference or area
  • Analyzing how circumference and area change when radius changes

How to use these practice tests

Use the radius in the area formula and the diameter in the direct circumference formula. If the diameter is given, divide by 2 before finding area. Follow the problem’s instruction about using π exactly or approximating with 3.14.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Circumference and Area of Circles Practice Tests

A 10-question Grade 7 Math practice test on circle circumference, area, radius, diameter, pi, scale changes, and real-world circle problems.

Identify the radius or diameter, choose the circumference or area formula, use the requested value of pi, and label the units correctly.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A circular garden has radius 6 m6\text{ m}. What is its circumference? Use π\pi exactly.

Please select an answer first.

Correct answer: A

The correct answer is 12π m12\pi\text{ m}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=2πr=2π⋅6=12πC=2\pi r=2\pi\cdot6=12\pi meters.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=2πr=2π⋅6=12πC=2\pi r=2\pi\cdot6=12\pi meters.

2. QuestionMultiple choice

A sign has diameter 20 in20\text{ in}. Find its circumference using π≈3.14\pi\approx3.14.

Please select an answer first.

Correct answer: B

The correct answer is 62.8 in62.8\text{ in}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=πd=3.14⋅20=62.8C=\pi d=3.14\cdot20=62.8 inches.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=πd=3.14⋅20=62.8C=\pi d=3.14\cdot20=62.8 inches.

3. QuestionMultiple choice

A circular table has radius 10 ft10\text{ ft}. Find its area using π≈3.14\pi\approx3.14.

Please select an answer first.

Correct answer: C

The correct answer is 314 ft2314\text{ ft}^2.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use A=πr2=3.14⋅102=314A=\pi r^2=3.14\cdot10^2=314 square feet.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=3.14⋅102=314A=\pi r^2=3.14\cdot10^2=314 square feet.

4. QuestionMultiple choice

A circle has area 78.5 cm278.5\text{ cm}^2. Using π≈3.14\pi\approx3.14, what is its radius?

Please select an answer first.

Correct answer: D

The correct answer is 5 cm5\text{ cm}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Solve 3.14r2=78.53.14r^2=78.5. Then r2=25r^2=25 and r=5r=5 centimeters.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Solve 3.14r2=78.53.14r^2=78.5. Then r2=25r^2=25 and r=5r=5 centimeters.

5. QuestionMultiple choice

A circle has circumference 43.96 cm43.96\text{ cm}. Using π≈3.14\pi\approx3.14, what is its diameter?

Please select an answer first.

Correct answer: A

The correct answer is 14 cm14\text{ cm}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use 3.14d=43.963.14d=43.96. Divide to get d=14d=14 centimeters.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use 3.14d=43.963.14d=43.96. Divide to get d=14d=14 centimeters.

6. QuestionMultiple choice

A circle has area 153.86 cm2153.86\text{ cm}^2. Using π≈3.14\pi\approx3.14, what is its radius?

Please select an answer first.

Correct answer: B

The correct answer is 7 cm7\text{ cm}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Solve 3.14r2=153.863.14r^2=153.86. Then r2=49r^2=49 and r=7r=7 centimeters.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Solve 3.14r2=153.863.14r^2=153.86. Then r2=49r^2=49 and r=7r=7 centimeters.

7. QuestionMultiple choice

What is the difference in area between circles with radii 66 and 33? Use π\pi exactly.

Please select an answer first.

Correct answer: C

The correct answer is 27π27\pi.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Subtract the areas: π(62−32)=π(36−9)=27π\pi(6^2-3^2)=\pi(36-9)=27\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Subtract the areas: π(62−32)=π(36−9)=27π\pi(6^2-3^2)=\pi(36-9)=27\pi.

8. QuestionMultiple choice

If a circle’s radius is doubled, by what factor does its circumference change?

Please select an answer first.

Correct answer: D

The correct answer is 22.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Circumference is directly proportional to radius, so doubling the radius doubles the circumference.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Circumference is directly proportional to radius, so doubling the radius doubles the circumference.

9. QuestionMultiple choice

If a circle’s radius is doubled, by what factor does its area change?

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Area depends on the square of the radius: (2r)2=4r2(2r)^2=4r^2, so the area is multiplied by 4.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Area depends on the square of the radius: (2r)2=4r2(2r)^2=4r^2, so the area is multiplied by 4.

10. QuestionMultiple choice

A wheel has diameter 2 ft2\text{ ft}. How far does it travel in 10 rotations? Use π\pi exactly.

Please select an answer first.

Correct answer: B

The correct answer is 20π ft20\pi\text{ ft}.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: One rotation travels one circumference: C=πd=2πC=\pi d=2\pi. For 10 rotations, 10⋅2π=20π10\cdot2\pi=20\pi feet.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

One rotation travels one circumference: C=πd=2πC=\pi d=2\pi. For 10 rotations, 10⋅2π=20π10\cdot2\pi=20\pi feet.

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Frequently asked questions about Grade 7 Circumference and Area of Circles

What is the difference between circumference and area?

Circumference measures the distance around a circle, while area measures the region inside the circle.

Which radius or diameter should be used in the formulas?

Use the radius in A = πr² and C = 2πr. Use the diameter directly in C = πd.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Circumference and Area of Circles questions in total.