Area of Circles Worksheet

Finding the area of a circle is the moment geometry stops being about straight edges and starts being about curves, and it is one of the most useful measurement skills a middle school student learns. Once students know that the radius is the distance from the center to the edge, and that pi is the constant that connects a circle’s width to the space inside it, they can calculate the area of anything round — a garden bed, a pizza, a rug, a fountain, a bike wheel. This area of circles worksheet gives students focused practice with the formula A = π × r², including the extra step of halving a diameter before squaring it.

This 6th grade area worksheet is a two-page, print-ready PDF that moves from straightforward computation to real-world reasoning. Part A gives six clearly labeled circle diagrams — three that supply the radius and three that supply the diameter — so students practice recognizing which measurement they have been handed before they start multiplying. Part B adds two multi-step word problems that ask students to show their work and justify a comparison. Use it as guided practice after a lesson, as independent classwork, as homework, or as a quick formative check before a unit test.

What’s Included

• 1 print-ready PDF worksheet
• Answer key
• 6 labeled circle diagrams (radius or diameter given) plus 2 multi-step word problems

There are three reasons this resource helps students master the skill. First, it separates the two cases that trip students up most: half of the diagrams give the radius and half give the diameter, so students have to stop and decide instead of applying one habit to every problem. Second, every diagram is labeled and drawn cleanly, so students spend their thinking on the formula rather than on decoding a cluttered picture. Third, the word problems in Part B require students to explain and compare, which is exactly the constructed-response reasoning that state assessments ask for. Because this area of circles worksheet includes a complete answer key, students can also check their own work and find their own mistakes.

Teachers and parents can extend this skill well beyond the page. Hand students a tape measure and let them find the area of a real circle — a trash can lid, a clock face, a round table, a hula hoop — and compare their answers. Cut a paper circle into narrow wedges and rearrange them into a near-rectangle so students can see for themselves why the formula works. Challenge students to work backward from a known area to find the radius, or to calculate how much more pizza is in a 16-inch pie than in two 8-inch pies. Small investigations like these turn a memorized formula into something students genuinely understand.

Related Resources

• Area Circles Worksheet
• Circumference of Circles Worksheet
• Identifying Shapes Worksheet
• Volume Song from Have Fun Teaching