Circles and Circumference – Advanced Lesson


Circles and Circumference – Advanced Lesson explains how to find the circumference of a circle. There are two equations or formulas students can use to solve these problems. By the end of the lesson, students will be able to use both expressions to find the circumference of any circle. They will also discover how to find the radius or diameter using a given circumference.

There are a couple of suggestions in the “Options for Lesson” section that you may want to use in the lesson. Instead of physical objects, for instance, you can draw circles on paper or on the board for students to use. Another option is to have students guess the circumferences of their heads.

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What our Circles and Circumference – Advanced Lesson lesson plan includes

Lesson Objectives and Overview: Circles and Circumference – Advanced Lesson teaches students how to find the circumference of a circle. Students will learn the equation and apply it to many examples and problems in the worksheets. By the end of the lesson, they should be able to recall the equation and find the circumference (C) easily.

There are two pages of content in this lesson. Students will first learn some vocabulary related to circles that will help them in the lesson: radius and diameter. The lesson lists the two variants of the equation and then provides examples. First, students will find C using a measurement for the radius (2πr). For the second example, students will find C using the diameter (πd).


For the activity, students will follow specific steps listed on the worksheet. First, they will choose a circular object but not pick it up. They will guess the length of circumference by cutting a piece of string to what they believe is the correct length. Then they can pick up the object and wrap the string around it to compare the actual length with their guess. They will measure their guess to the nearest quarter inch. Then they will measure the diameter of the object to the nearest quarter inch to find the actual circumference. Finally, they will write how close their guess was. They will repeat this process with three more objects.


The practice worksheet requires students to find the circumference of nine different circles. The circles label either the radius or diameter value. Students will use 3.14 for pi and whichever formula they want to solve each problem. Finally, given a specific circumference, they will work backward to find the diameter and radius and show their work.


The homework assignment has two sections. The first section, similar to the practice, has three circles for which students will need to find the circumference. The second section requires that students find two circular objects in their house. Students will trace the circles and calculate their circumferences.

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.