Worksheets · Geometry

Circumference of a circle worksheet

The circumference is two pi times the radius, which is the same as pi times the diameter. Easy sheets leave every answer in terms of pi. Medium works back from a circumference to the radius and uses 3.14 for pi in word problems; hard finds the perimeters of semicircles and composite shapes, counts wheel turns, and works back from a perimeter.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Circumference of a Circle

Date Period

Answer each question. Leave answers in terms of π unless told to use 3.14.

  1. Find the radius or diameter from the circumference

    Circle Z has a circumference of 18.84 ft. Use 3.14 for π and find its radius.
  2. Circle H has a circumference of 48π cm. How long is its diameter?
  3. The circumference of circle D is 46π cm. Find its radius.
  4. The circumference of circle M is 54π. Find the diameter d.dM
  5. The circumference of circle F is 69.08 yd. Using 3.14 for π, find its diameter.
  6. A tape measure wrapped once around a tree trunk reads 182.12 in. Use 3.14 for π to find the diameter of the trunk.
  7. Circle K has a circumference of 106.76 yd. Use 3.14 for π and find its radius.
  1. Find each circumference using π≈3.14\pi \approx 3.14

    Each square on the grid is 1 meter long. Find the circumference of circle G.G
  2. Circle F has a radius of 19 cm. Find its circumference.
  3. Find the circumference of circle R, whose diameter is 20 ft.
  4. Circle J just fits inside the square, touching all four sides. Find its circumference, in millimeters.J28 mm
  5. Find the circumference of circle W, whose radius is 12.5 mm.
  6. In meters, how far is it around circle S?9 mS
  7. Circle T just fits inside the square, touching all four sides. Find its circumference, in yards.T4 yd
  1. Solve each word problem using π≈3.14\pi \approx 3.14

    A runner does 3 laps of a circular track with a radius of 25 m. How far does she run?
  2. How long a wire is needed to make a circle 14 cm across, with no overlap?
  3. A circular garden has a diameter of 32 yd. How much fencing goes once around it?
  4. The bottom rim of a lampshade is a circle 10 in across. How much fringe is needed to go once around the rim?
  5. A label is wrapped once around a jar with a radius of 12 in, with no overlap. How long is the label?
  6. A child walks 5 times around the edge of a round fountain with a radius of 6 m. How far does the child walk?

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

Sigma Prep · sigmaprep.io/worksheets

Name

Circumference of a CircleAnswer keyVersion 1

Date Period

Answer each question. Leave answers in terms of π unless told to use 3.14.

  1. Find the radius or diameter from the circumference

    Circle Z has a circumference of 18.84 ft. Use 3.14 for π and find its radius.3 ft
  2. Circle H has a circumference of 48π cm. How long is its diameter?48 cm
  3. The circumference of circle D is 46π cm. Find its radius.23 cm
  4. The circumference of circle M is 54π. Find the diameter d.dM54
  5. The circumference of circle F is 69.08 yd. Using 3.14 for π, find its diameter.22 yd
  6. A tape measure wrapped once around a tree trunk reads 182.12 in. Use 3.14 for π to find the diameter of the trunk.58 in
  7. Circle K has a circumference of 106.76 yd. Use 3.14 for π and find its radius.17 yd
  1. Find each circumference using π≈3.14\pi \approx 3.14

    Each square on the grid is 1 meter long. Find the circumference of circle G.G25.12 m
  2. Circle F has a radius of 19 cm. Find its circumference.119.32 cm
  3. Find the circumference of circle R, whose diameter is 20 ft.62.8 ft
  4. Circle J just fits inside the square, touching all four sides. Find its circumference, in millimeters.J28 mm87.92 mm
  5. Find the circumference of circle W, whose radius is 12.5 mm.78.5 mm
  6. In meters, how far is it around circle S?9 mS56.52 m
  7. Circle T just fits inside the square, touching all four sides. Find its circumference, in yards.T4 yd12.56 yd
  1. Solve each word problem using π≈3.14\pi \approx 3.14

    A runner does 3 laps of a circular track with a radius of 25 m. How far does she run?471 m
  2. How long a wire is needed to make a circle 14 cm across, with no overlap?43.96 cm
  3. A circular garden has a diameter of 32 yd. How much fencing goes once around it?100.48 yd
  4. The bottom rim of a lampshade is a circle 10 in across. How much fringe is needed to go once around the rim?31.4 in
  5. A label is wrapped once around a jar with a radius of 12 in, with no overlap. How long is the label?75.36 in
  6. A child walks 5 times around the edge of a round fountain with a radius of 6 m. How far does the child walk?188.4 m

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

How to do these

Find the circumference of a circle with radius 7

  1. Circumference is 2 pi r.
  2. 2 times 7 is 14.

The answer is 14π.

Where students go wrong

Using the diameter in the two pi r formula, which doubles the answer. If you are given a diameter, either halve it first or use pi times the diameter instead.

Also called perimeter of a circle or circumference formula.

What you can put on this worksheet

Circles drawn, shapes and working back
Circle T just fits inside the square, touching all four sides. Find its circumference, in centimeters. — circle t inside a square of side 18 cm → 18π cm
Circumference in words, with 3.14, and wheels
Circle M has its center at (1,−5) and passes through (−11,−5). Find its circumference. → 24π
Word problems and working back from a perimeter
How long is a hula hoop, all the way around, if its diameter is 82 cm? → 82π cm

Questions about these worksheets

Yes. Every circumference 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 circumference 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.

You pick from 3: circles drawn, shapes and working back, circumference in words, with 3.14, and wheels and word problems and working back from a perimeter. Tick as many as you want and set how many of each, or let it spread them evenly.

Using the diameter in the two pi r formula, which doubles the answer. If you are given a diameter, either halve it first or use pi times the diameter instead.