Circumference from the diameter worksheets

The circumference is pi times the diameter, and when the diameter is what you are handed there is nothing to convert first — one multiplication and you are done. These free printable worksheets keep to that one case, with pi = 3.14.

Kid stuck on one? You don’t just get the sheet.

Circumference from the diameter
Circumference from the diameter worksheet — Diameters to 30 cm, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The mixed circumference sheets label some circles with a radius and some with a diameter, so a child has to double or not depending on the figure. This one is diameter throughout, which makes it the cleaner starting point: C = pi × d directly, no doubling step, so the whole of the work is the multiplication and reading the unit.

Why this sheet works

The number is printed on a chord straight across the middle, so a child can see it is the full width rather than a spoke from the center. Getting that reading right is what keeps this from being confused with the radius sheets, where the first move is to double.

How this one works

One question from this sheet, worked through a step at a time.

Circumference: circle marked 10 cm

10 cm r = 5
  1. The 10 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, 10.
  3. Then multiply by π: 10 × 3.14 = 31.4 cm. Slightly more than three times across — which is what π has always been.