Area of a Polar Curve

Rarely Tested

Area of a Polar Curve

For a polar curve:

$$r=f(\theta)$$

the area swept from $$\theta=\alpha$$ to $$\theta=\beta$$ is:

$$A=\frac{1}{2}\int_\alpha^\beta r^2\,d\theta$$

Usage

- Used to find the area enclosed by or swept by a polar curve.

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