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Area animations

8 verified, narrated animations about area, reviewed by hand and checked at animation steps. Watch free; download the video or adapt it to your lesson with any paid plan.

Why the area of a circle is pi r^2
Why the area of a circle is pi r^2

A circle is sliced into 16 equal sectors, then unfolded and reassembled into a shape resembling a rectangle wi…

Pythagorean Theorem With A 3-4-5 Triangle
Pythagorean Theorem With A 3-4-5 Triangle

A right triangle with legs 3 and 4 units and hypotenuse 5 units is drawn on screen, with squares built on each…

Optimization: the biggest rectangle for a fixed perimeter
Optimization: the biggest rectangle for a fixed perimeter

An animation shows a rectangle with fixed perimeter 20 changing shape as its width varies, tracing the area fu…

1/2 + 1/4 + 1/8 + ... = 1: filling a square
1/2 + 1/4 + 1/8 + ... = 1: filling a square

A unit square is progressively filled by repeatedly halving the remaining area, generating the series 1/2 + 1/…

Completing the square, literally
Completing the square, literally

An x-by-x square is joined by two strips of width 3/2, representing the algebraic expression x squared plus 3x…

Euclid's algorithm as squares in a rectangle
Euclid's algorithm as squares in a rectangle

A 48 by 18 rectangle is filled with the largest possible squares in stages: two 18-squares leave a 12 by 18 st…

Why a² + b² = c²: rearrange four triangles
Why a² + b² = c²: rearrange four triangles

Two identical large squares each contain four congruent right triangles arranged differently. In one square th…

A matrix is a transformation of the plane
A matrix is a transformation of the plane

This animation shows how the matrix A = [[2,1],[0,1]] transforms the plane by tracking where the basis vectors…

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