Arc length of polar curves

Get the most by viewing this topic in your current grade. Pick your course now.

?
Intros
Lessons
  1. Arc Length of Polar Curves Overview:
?
Examples
Lessons
  1. Finding the Arc Length of Polar Equations
    Find the length of the curve r=4sinθr=4 \sin \theta from 0θπ0 \leq \theta \leq \pi.
    1. Find the length of the curve r=eθr=e^{\theta} from 0θ30 \leq \theta \leq 3.
      1. Find the length of the curve r=θ2r=\theta^2 from 0θ10 \leq \theta \leq 1.
        1. Find the length of the curve r=3θr=3^{\theta} from 0θπ0 \leq \theta \leq \pi. (Hint: abCxdx=cxln(c)ab\int_{a}^{b} C^xdx=\frac{c^x}{\ln(c)}|_{a}^{b} where C is a constant)