Math With Mr DJ

Grade 7 · Geometry · 7.G.B.4

Circumference of a Circle Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the circumference of a circle practice worksheet Open the practice worksheet

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Key idea

C = 2πr from a radius. C = πd from a diameter. One formula in two costumes, since d = 2r. Reading backwards: if C = kπ, then the diameter is k and the radius is k ÷ 2.

Sample problems

  1. Find the circumference of a circle with radius 7 cm.
  2. Find the circumference of a circle with diameter 7 cm.
  3. Your answers to 1 and 2 differ. Explain why, given that both mention 7.
  4. Find the circumference of a circle with diameter 14 cm. Compare it with question 1.

Common mistakes to watch for

  • Used C = πr and answered 5π, forgetting the 2.
  • Answered 20π by substituting the diameter into the radius formula. Always name which measurement you were given before choosing the formula.
  • Answered 3π by using C = πr.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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