# Proof: Area of a polar equation

1. Feb 16, 2005

### DoubleMike

Why is the area enclosed by a polar curve equal to $$\int \frac{1}{2}R^2 d\theta$$

What's the Riemann sum from which this is derived?

2. Feb 16, 2005

### Hurkyl

Staff Emeritus
Divide the region into triangles emanating from the origin.

3. Feb 16, 2005

### DoubleMike

That had been my original guess, thanks :)