Measuring Circle Circumference & Diameter to Discover Pi - Pi Day Inquiry Lesson

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  1. This bundle contains two guided inquiry lessons to help students discover pi by:measuring circle circumference and diameter, andmeasuring the area of a circle and the area of the square formed by its radius
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Have fun finding Pi by measuring the circumference and diameter of circles of all sizes! Students will calculate the ratio of the length of a circle’s diameter to its circumference. They’ll discover that the circumference is always a little more than three times as long as the diameter. This full lesson plan and teacher script will help you lead an inquiry based investigation and class discussion. It’s perfect for an introduction to these geometry concepts, or for a fun Pi Day activity.

A full, free preview is available above to help you decide if this activity will be a good fit for your classroom.

This download is one pdf file that includes:

★Teacher notes for setup and a two page lesson plan, complete with teacher script for high-level questions and explanations to use for a class discussion

★Two-sided student recording sheet

★1000 Digits of Pi display page

★Suggestions and worksheets for two extension and application activities

★My unique Collaborative License, which grants you permission to share printed copies only of this resource with up to four other members of your regular teaching team! (If you’d like to share the digital file, please return to your My Purchases page to purchase additional licenses. See my current Terms of Use for more information.)

Standards Addressed:

VA SOL 6.7a, 6.7b (2016 standards): The student will a) derive π (pi); b) solve problems, including practical problems, involving circumference and area of a circle

CCSS.MATH.CONTENT.7.G.B.4 Know the formulas for the area and circumference of a circle and use them to solve problems. (This activity only addresses circumference and diameter.)

TEKS 7.5B Describe π as the ratio of the circumference of a circle to its diameter.

A note on grade level: I originally used this lesson with my fifth grade students on Pi Day as a hands-on activity to introduce pi, even though it is not introduced in the standards until 6th grade in Virginia and 7th grade in TEKS and Common Core.

Please note: This product is not editable. The included pdf file(s) have been flattened and password secured as per the included font and clip artists’ terms of use. High resolution printing is enabled. Be sure to use the latest version of Adobe Reader to view and print, as other programs may not render the file(s) correctly.

Distance learning: If needed, you may email the pdf to the parents and students you directly serve, as explained in my updated Terms of Use (2020).


You might also like:

Measuring Circles and Finding Pi: Area and Radius Square Inquiry Activity

Last Minute, No-Prep Pi Day Activity Ideas

More Geometry Resources

More Inquiry Resources

More Virginia SOL Aligned Resources

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Total Pages
8 pages
Answer Key
Teaching Duration
90 minutes
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to see state-specific standards (only available in the US).
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.


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