Worksheets · Geometry

Area of a circle worksheet

The area is pi times the radius squared. Square the radius first and multiply by pi last, and if you are handed a diameter, halve it before you square anything.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Area of a Circle

Date Period

Find each area, radius or diameter. Leave areas in terms of π.

  1. Find the area of the circle.18
  2. Find the diameter of a circle whose area is 1156π.
  3. Find the area.26
  4. Find the area of a circle with radius 30.
  5. What is the area of the circle?9
  6. The radius of a circle is 39. What is its area?
  7. A circle has radius 3. Find its area.
  8. Find the area.33
  9. What is the area of the circle?10
  10. A circle has diameter 74. Find its area.
  11. Find the area of the circle.23
  12. Find the radius of a circle whose area is 1296π.
  13. A circle has radius 14. Find its area.
  14. What is the area of the circle?38
  15. The radius of a circle is 28. What is its area?
  16. Find the area.29
  17. Find the area of a circle with radius 12.
  18. Find the area of the circle.80
  19. Find the area of the circle.21
  20. The radius of a circle is 31. What is its area?

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Area of a CircleAnswer keyVersion 1

Date Period

Find each area, radius or diameter. Leave areas in terms of π.

  1. Find the area of the circle.18324π
  2. Find the diameter of a circle whose area is 1156π.68
  3. Find the area.26169π
  4. Find the area of a circle with radius 30.900π
  5. What is the area of the circle?981π
  6. The radius of a circle is 39. What is its area?1521π
  7. A circle has radius 3. Find its area.9π
  8. Find the area.331089π
  9. What is the area of the circle?10100π
  10. A circle has diameter 74. Find its area.1369π
  11. Find the area of the circle.23529π
  12. Find the radius of a circle whose area is 1296π.36
  13. A circle has radius 14. Find its area.196π
  14. What is the area of the circle?381444π
  15. The radius of a circle is 28. What is its area?784π
  16. Find the area.29841π
  17. Find the area of a circle with radius 12.144π
  18. Find the area of the circle.801600π
  19. Find the area of the circle.21441π
  20. The radius of a circle is 31. What is its area?961π

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the area of a circle with radius 6

  1. Square the radius: 6 squared is 36.
  2. Multiply by pi.

The answer is 36π.

Where students go wrong

Squaring the diameter, or doubling the radius instead of squaring it. Radius 6 gives 36 pi, not 12 pi and not 144 pi.

Also called circle area or pi r squared.

Questions about these worksheets

Yes. Every area of a circle sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the area of a circle questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Squaring the diameter, or doubling the radius instead of squaring it. Radius 6 gives 36 pi, not 12 pi and not 144 pi.