Area of a Circle - Wedge Demo 1
- Author:
- matte Lena, Linda Fahlberg-Stojanovska
We know that the area of a circle is: A=πr². But a real proof of this is hard.
Here we show a demonstration of this fact by cutting the circle into wedges and placing half of the wedges face up and half face down. As the number of wedges increases, we see that they cover a rectangle with A=base•height = ½ of circumference •radius = ½(2πr)•r = πr²