Area of Circles: Advanced Lesson


Do your students know the formula for the area of a circle? In this lesson, they’ll learn all about it! First, they’ll review what they already know about area and formulas. Then, they’ll dive deeper into circles by exploring the symbol pi.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional adjustments to the lesson activity is to let your students use a compass to draw circles instead of tracing objects.

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What our Area of Circles: Advanced Lesson lesson plan includes

Lesson Objectives and Overview: Area of Circles: Advanced Lesson is perfect for math students who are ready to explore a more complicated concept. The symbol pi is explained in detail, and students will work with it in a formula to calculate the area of a circle. This lesson will help solidify students’ knowledge of formulas and their understanding of the concept of area. This lesson is for students in 6th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. The only supply you will need for this lesson is graph paper.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. Some optional adjustments to the lesson activity are to let students use a compass to draw circles instead of tracing objects or have them bring in their objects to trace. They can also use objects found in the classroom. You can also copy the circles onto the graph paper ahead of the lesson to save time or help students with disabilities.

Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.


What is Area?

The Area of Circles: Advanced Lesson lesson plan includes two pages of content. Area is the amount of space inside of a shape. We measure area in square units because they’re the number of squares that can fit inside the shape. However, sometimes squares don’t fit into the shape perfectly, like with a circle.

To find the area of a circle, we use the formula Area = πr². Pi (π) equals approximately 3.14. In this equation, the lower case r stands for the radius of the circle, To find the area of a circle, you just need to plug in the numbers into the equation and solve. The radius of a circle is the distance from the center to a point on that circle. It’s half the diameter of a circle.

Solving for Area

To find the area of a circle, we always use the formula Area = πr². First, you need to find or calculate the radius. Next, you plug the radius into the formula. After that, you follow the order of operations, solving the exponent first. Finally, multiply by pi.

The lesson closes with three example problems that show students how to find the area of a circle step-by-step.


The Area of Circles: Advanced Lesson lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.


For the activity worksheet, students will draw four different sized circles on their graph paper and label them A – D. Next, they will count the whole squares inside of each circle to find the inner area of each. They will count the whole squares around the circle and will find the average of the inner and outer area. Finally, they will measure the radius and find the precise area using the area formula. They will record all of their findings in the chart on the worksheet.


The practice worksheet asks students to find the area of each circle, making sure to show their work.


For the homework assignment, students will find the area of each circle. They will also find area using just the radius.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information


6th Grade


Advanced, Math

State Educational Standards

LB.MATH.CONTENT.6-Advanced Lesson

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.