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Arc Length in Polar Form
For:
$$r=f(\theta)$$
from $$\theta=\alpha$$ to $$\theta=\beta$$:
$$L=\int_\alpha^\beta\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta$$
Usage
- Used to find the length of a polar curve.
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Arc Length in Polar Form
For:
$$r=f(\theta)$$
from $$\theta=\alpha$$ to $$\theta=\beta$$:
$$L=\int_\alpha^\beta\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta$$
Usage
- Used to find the length of a polar curve.
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