Circle area

For the most part, we know that the area of a circle of radius \(r\) is \(\pi r^2\) - do we know why, though?

The little demo below illustrates how it is that we can decompose a circle into an even number of wedges and then reassemble those wedges into something that looks kinda close to a rectangle. Can you see what the width and height of the limiting rectangle are?

viewof n = Inputs.range([1,32], {step: 1, value: 2})

assemble(n)

import {w, h, assemble} from './generation_functions.js';