Circumference of a circle worksheets

The circumference is the perimeter of a circle, and the whole difficulty is noticing which measurement you were handed. These free printable worksheets label either the radius or the diameter.

Circumference of a circle
Circumference of a circle worksheet — Circles to 30 cm across, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The segment on the figure is not decoration. A spoke from the center is a radius and a chord across the middle is a diameter, and the number sits on the segment rather than off to one side, because a child who puts a diameter where the formula wants a radius gets an answer twice too large.

Why this sheet works

Circles are drawn from their true size rather than from the printed number. On a mixed sheet a circle labeled 20 as a diameter is genuinely half the size of one labeled 20 as a radius, so the picture and the number agree — which is the check a child needs when the two formulas start to blur.

How this one works

Circumference: circle marked 7 cm

7 cm r = 3.5
  1. The 7 cm marked here goes right ACROSS the circle — it is the diameter, the whole way across, which is exactly what a circumference needs.
  2. Circumference is π × the whole way across — that is the diameter, 7.
  3. Then multiply by π: 7 × 3.14 = 21.98 cm. Slightly more than three times across — which is what π has always been.