Circles · §1.3

Area of a Circle

Area of a Circle

Imagine slicing a circle into very thin pie wedges and rearranging them into something close to a rectangle. The “rectangle” has height r (the radius) and width πr (half the circumference). Its area is πr · r = πr².

So for any circle:

A=πr2A = \pi r^2

Doubling the radius multiplies the area by four, not two — radius enters the formula squared. Watch the readout as you drag the slider.

Try it
If a pizza's radius doubles, by how much does its area grow?
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