Why the ratio of a circle's circumference to its diameter is always constant
In short: This video demonstrates how to visualize the proportional relationship between a circle's diameter and its circumference using a graph, revealing why the constant of proportionality is slightly greater than 3.
By plotting these measurements, you can observe a direct, proportional link between the two dimensions. The constant of proportionality, which relates the circumference to the diameter, consistently emerges as a value just above 3.
Understanding this relationship is a fundamental step in geometry, illustrating how circles maintain a predictable ratio regardless of their size. This instructional content is part of the broader educational resources provided by Khan Academy, a nonprofit serving 15 million monthly learners.
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Sources
- Summary by Intellect · source: Explaining the relationship between diameter and circumference from a graph | Khan Academy
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