Derivation of Circle Area

Visualizing Area = πr² by transforming a circle into a rectangle via limit theory.

Math Principle:

We cut the circle into 16 equal sectors.

Rearranging them forms a shape resembling a parallelogram (or rectangle).

The height of this rectangle is the radius r.

The width is half the circumference:

\frac{1}{2} \times 2\pi r = \pi r

Area = Width × Height =

(\pi r) \times (r) = \pi r^2

Sectors n16

Rearrange0%

Labels