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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Estimating a Circle

Inscribe a triangle in a circle:

Now inscribe a square in a circle:

Then a pentagon, then a hexagon:

If we keep going, the shapes approach that of a circle. We'll draw a shape with 100 sides, and a shape with 1000 sides. We won't ever actually reach a perfect circle, but we're approaching it.

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