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Circle Area Demonstration/Lab – 3D printable model from Thingiverse Thingiverse

Circle Area Demonstration/Lab

by jrobsea
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This is a great proof of the circle area formula with no calculus necessary.

The circular dish holds 10 equal wedges. The parallelogram rearranges the wedges into an orientation that is starting to look rectangular.

The point of the lab is for the kids to see that if you divide the circle into enough wedges, you can arrange them into a rectangle whose height is equal to the radius of the circle, and whose width is equal to pi x radius (half the circumference). From the rectangle area for
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