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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

What is the area of a circle with radius 44? Use π\pi exactly.

Please select an answer first.

Correct answer: A

The correct answer is 16π16\pi.

  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=π⋅42=16πA=\pi r^2=\pi\cdot4^2=16\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅42=16πA=\pi r^2=\pi\cdot4^2=16\pi.

2. QuestionMultiple choice

What is the area of a circle with radius 66? Use π\pi exactly.

Please select an answer first.

Correct answer: B

The correct answer is 36π36\pi.

  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=π⋅62=36πA=\pi r^2=\pi\cdot6^2=36\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅62=36πA=\pi r^2=\pi\cdot6^2=36\pi.

3. QuestionMultiple choice

What is the area of a circle with radius 99? Use π\pi exactly.

Please select an answer first.

Correct answer: C

The correct answer is 81π81\pi.

  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=π⋅92=81πA=\pi r^2=\pi\cdot9^2=81\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅92=81πA=\pi r^2=\pi\cdot9^2=81\pi.

4. QuestionMultiple choice

What is the area of a circle with radius 1010? Use π\pi exactly.

Please select an answer first.

Correct answer: D

The correct answer is 100π100\pi.

  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=π⋅102=100πA=\pi r^2=\pi\cdot10^2=100\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅102=100πA=\pi r^2=\pi\cdot10^2=100\pi.

5. QuestionMultiple choice

What is the area of a circle with radius 22? Use π\pi exactly.

Please select an answer first.

Correct answer: A

The correct answer is 4π4\pi.

  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=π⋅22=4πA=\pi r^2=\pi\cdot2^2=4\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅22=4πA=\pi r^2=\pi\cdot2^2=4\pi.

6. QuestionMultiple choice

What is the area of a circle with radius 88? Use π\pi exactly.

Please select an answer first.

Correct answer: B

The correct answer is 64π64\pi.

  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=π⋅82=64πA=\pi r^2=\pi\cdot8^2=64\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅82=64πA=\pi r^2=\pi\cdot8^2=64\pi.

7. QuestionMultiple choice

What is the area of a circle with radius 55? Use π\pi exactly.

Please select an answer first.

Correct answer: C

The correct answer is 25π25\pi.

  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=π⋅52=25πA=\pi r^2=\pi\cdot5^2=25\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅52=25πA=\pi r^2=\pi\cdot5^2=25\pi.

8. QuestionMultiple choice

What is the area of a circle with radius 1212? Use π\pi exactly.

Please select an answer first.

Correct answer: D

The correct answer is 144π144\pi.

  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=π⋅122=144πA=\pi r^2=\pi\cdot12^2=144\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅122=144πA=\pi r^2=\pi\cdot12^2=144\pi.

9. QuestionMultiple choice

What is the area of a circle with radius 1515? Use π\pi exactly.

Please select an answer first.

Correct answer: A

The correct answer is 225π225\pi.

  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=π⋅152=225πA=\pi r^2=\pi\cdot15^2=225\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅152=225πA=\pi r^2=\pi\cdot15^2=225\pi.

10. QuestionMultiple choice

What is the area of a circle with radius 77? Use π\pi exactly.

Please select an answer first.

Correct answer: B

The correct answer is 49π49\pi.

  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=π⋅72=49πA=\pi r^2=\pi\cdot7^2=49\pi.
  3. Check the result: Confirm the radius-diameter relationship and use the requested value of pi or rounding instruction.

Use A=πr2=π⋅72=49πA=\pi r^2=\pi\cdot7^2=49\pi.

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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.