Inquiry AI
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Where Does πr² Come From?

Slice, rearrange, discover

The animation plays automatically: a circle is sliced into 4 → 8 → 16 → 32 wedges and staggered into a row. See it? That row is a near-perfect parallelogram with base πr and height r.

Formula Animation

Watch the circle become a parallelogram — that’s the picture behind A = πr².

Slice & Rearrange

More slices → the pieces line up into a near-perfect parallelogram (base ≈ πr, height = r).

base ≈ π × 4 = 12.57 h = 4

Cut the circle into 4 equal wedges and lay them in a row, alternating up and down.

4 slices