Area of a circle worksheets

Area of a circle squares the radius, which means getting the radius wrong costs four times over. These free printable worksheets hand a child either measurement and let them sort it out.

Area of a circle
Area 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

Given a diameter, the first move is halving it, and skipping that step is the single most common error on this topic. It is not a careless slip — the two formulas look alike and both involve one number and pi — so the mixed sheets deliberately alternate, and a child has to read the figure every time rather than settle into a rhythm.

Why this sheet works

Diameters stay even on the area sheets, so halving never produces a fraction. The point of the practice is the formula and the squaring, not decimal arithmetic sneaking in through the back door.

How this one works

Area of a circle marked 4 cm

4 cm r = 2
  1. The 4 cm marked here goes right ACROSS the circle — it is the diameter, not the radius. The area formula wants the radius, so that is the first thing to sort out.
  2. Half of 4 is 2, so the radius is 2 cm. Skipping this step is what makes an area come out four times too big.
  3. Area is π × r × r. Square the RADIUS first — only the r is squared, not the π with it: 2 × 2 = 4.
  4. Then multiply by π: 4 × 3.14 = 12.56 square cm.