Does the worksheet come with an answer key?

Yes. Every worksheet generates a matching answer key, and the on-screen student page grades itself against it.

Can I set the range of radius values?

Yes. You pick the smallest and largest radius, so you can keep the numbers friendly for younger students or push them harder.

What grade is area of a circle for?

It usually lands in grades 6 to 8, once students are comfortable squaring numbers and working with pi.

Yes. The tool is free, runs in your browser, and needs no account. You can print or save each worksheet as a PDF.

Formula Worksheet Maker

Area of a Circle Worksheet Generator

Build a printable area-of-a-circle worksheet with an answer key in a few clicks. Set the radius range you want, generate a fresh set of problems, and let the student page grade itself.

Make a circle-area worksheet → Free · runs in your browser · answer key included

The formula

A = π × r²

The area of a circle depends only on its radius. Square the radius, multiply by π (about 3.14159), and the answer comes out in square units. Because the radius is squared, the area climbs fast as the circle grows: a circle with radius 6 has four times the area of one with radius 3, not twice.

A worked example

A circle has a radius of 7 cm. Find its area.

Square the radius: 7 × 7 = 49.

Multiply by π: 49 × 3.14159 ≈ 153.94.

Area ≈ 153.94 cm²

Two slips show up again and again. If a problem gives the diameter, halve it before you start — the formula wants the radius. And square the radius first, then multiply by π; doing it the other way around gives the wrong answer.

Sample problems

A circle has a radius of 4 cm. Find its area. (≈ 50.27 cm²)
A dinner plate has a radius of 12 cm. How much surface does it cover? (≈ 452.39 cm²)
A circular garden has a diameter of 10 m. Find its area. (radius 5 m → ≈ 78.54 m²)
A coin has a radius of 1.5 cm. Find its area. (≈ 7.07 cm²)

In the tool you set the range these radius values are drawn from, so every worksheet is different and no two students get the same sheet.

Who it's for

Area of a circle sits in the middle-school geometry stretch, usually grades 6 to 8, once students can square a number and handle π. It fits classroom practice, homework, quick quiz warm-ups, and homeschool sessions where you want a new sheet on demand.

How to make one

Open Formula Worksheet Maker.
Drag the Area of a Circle formula onto the sheet.
Set the smallest and largest radius you want to appear.
Generate the student page, the questions PDF, and the answer key.
Print it, or save as a PDF and reuse it. Regenerate for a fresh set whenever you like.

Questions people ask

Does the worksheet come with an answer key?: Yes. Every sheet generates a matching answer key, and the on-screen student page checks each answer against it.
Can I control how hard the numbers are?: You choose the radius range, so you can keep values small and round for younger students or widen them for more of a challenge.
Do students all get the same problems?: No. Each worksheet is generated fresh, which makes it easy to hand out a different version to each student.
Is it free to print?: Yes. The tool is free, runs in your browser, and needs no account. Print or save each worksheet as a PDF.

Ready to make your worksheet?

Set your radius range and generate an area-of-a-circle worksheet with its answer key.

Open Formula Worksheet Maker →