Isn't pi supposed to be constant? An intriguing video shows how the value of pi can change when the definition of distance varies. It explains how using various L^p metrics, where p = 2 represents the traditional Euclidean metric, results in different circles so the value of pi changes.

Concepts

circles, pi, distance formula, coordinate geometry

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Additional Tags

math

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Instructional Ideas

• Have pupils verify the values of pi given in the video for higher L^p metrics

Classroom Considerations

• Learners should be familiar with the distance formula and coordinate geometry, including the unit circle
• Individuals should understand the connection between fractional exponents and roots

• This video is hosted on YouTube

Pros

• Methodical explanations are thorough and easy to follow
• Well-paced video

Cons

• None