7th Grade Math · Circles: Area and Circumference
Area Worksheets
Fresh practice, ready to print. Answer key included.
The space inside a circle, from a radius or a diameter.
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Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| To do this | Use this rule |
|---|---|
| Diameter | d = 2 × r |
| Circumference | C = π × d = 2 × π × r |
| Area | A = π × r² |
| π | ≈ 3.14 |
Worked example
A circle has a diameter of 10 cm. Find its area. Use 3.14 for π.
- 1The area formula uses the radius. Half of 10 cm is 5 cm.
- 2Square the radius: 5² = 25.
- 3Multiply by π: 3.14 × 25 = 78.5.
- 4The area is about 78.5 cm².
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Area Worksheets, version 1Worksheet PDFAnswer key PDF
- Area Worksheets, version 2Worksheet PDFAnswer key PDF
- Area Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 7th grade math (geometry) and aligned to CCSS 7.G.B.4. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Why are the answers approximate?
- π goes on forever, so 3.14 is a close value, not the exact one. The answers use 3.14 and are rounded to the nearest hundredth. A calculator's π key gives slightly different answers.
- What is the most common mistake?
- Using the diameter in the area formula. Area needs the radius, so halve the diameter first. With a 10 cm diameter, the area is 3.14 × 5², not 3.14 × 10².
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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