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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 circle has circumference 10π10\pi. What is its radius?

Please select an answer first.

Correct answer: A

The correct answer is r=5r=5.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use 2πr=10π2\pi r=10\pi. Divide by 2π2\pi to get r=5r=5.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use 2πr=10π2\pi r=10\pi. Divide by 2π2\pi to get r=5r=5.

2. QuestionMultiple choice

A circle has circumference 18π18\pi. What is its diameter?

Please select an answer first.

Correct answer: B

The correct answer is d=18d=18.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=πdC=\pi d. Since 18π=πd18\pi=\pi d, d=18d=18.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=πdC=\pi d. Since 18π=πd18\pi=\pi d, d=18d=18.

3. QuestionMultiple choice

A circle has area 25π25\pi. What is its radius?

Please select an answer first.

Correct answer: C

The correct answer is r=5r=5.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use πr2=25π\pi r^2=25\pi. Then r2=25r^2=25 and the positive radius is r=5r=5.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use πr2=25π\pi r^2=25\pi. Then r2=25r^2=25 and the positive radius is r=5r=5.

4. QuestionMultiple choice

A circle has area 64π64\pi. What is its radius?

Please select an answer first.

Correct answer: D

The correct answer is r=8r=8.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use πr2=64π\pi r^2=64\pi. Then r2=64r^2=64 and r=8r=8.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use πr2=64π\pi r^2=64\pi. Then r2=64r^2=64 and r=8r=8.

5. QuestionMultiple choice

A circle has diameter 1414. What is its radius?

Please select an answer first.

Correct answer: A

The correct answer is r=7r=7.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Radius is half the diameter: r=14÷2=7r=14\div2=7.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Radius is half the diameter: r=14÷2=7r=14\div2=7.

6. QuestionMultiple choice

A circle has circumference 24π24\pi. What is its diameter?

Please select an answer first.

Correct answer: B

The correct answer is d=24d=24.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=πdC=\pi d: 24π=πd24\pi=\pi d, so d=24d=24.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=πdC=\pi d: 24π=πd24\pi=\pi d, so d=24d=24.

7. QuestionMultiple choice

A circle has area 100π100\pi. What is its radius?

Please select an answer first.

Correct answer: C

The correct answer is r=10r=10.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use πr2=100π\pi r^2=100\pi. Then r2=100r^2=100 and r=10r=10.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use πr2=100π\pi r^2=100\pi. Then r2=100r^2=100 and r=10r=10.

8. QuestionMultiple choice

A circle has circumference 16π16\pi. What is its diameter?

Please select an answer first.

Correct answer: D

The correct answer is d=16d=16.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=πdC=\pi d: 16π=πd16\pi=\pi d, so d=16d=16.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=πdC=\pi d: 16π=πd16\pi=\pi d, so d=16d=16.

9. QuestionMultiple choice

A circle has area 81π81\pi. What is its radius?

Please select an answer first.

Correct answer: A

The correct answer is r=9r=9.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use πr2=81π\pi r^2=81\pi. Then r2=81r^2=81 and r=9r=9.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use πr2=81π\pi r^2=81\pi. Then r2=81r^2=81 and r=9r=9.

10. QuestionMultiple choice

A circle has circumference 30π30\pi. What is its diameter?

Please select an answer first.

Correct answer: B

The correct answer is d=30d=30.

  1. Identify the radius or diameter: Determine whether the problem gives the radius, diameter, circumference, or area.
  2. Apply the circle formula: Use C=πdC=\pi d: 30π=πd30\pi=\pi d, so d=30d=30.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use C=πdC=\pi d: 30π=πd30\pi=\pi d, so d=30d=30.

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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.