How do you find the arc length of a polar curve? Calculus Polar Curves Determining the Length of a Polar Curve 1 Answer Wataru Sep 22, 2014 We can find the arc length #L# of a polar curve #r=r(theta)# from #theta=a# to #theta=b# by #L=int_a^bsqrt{r^2+({dr}/{d theta})^2}d theta# Answer link Related questions How do you find the exact length of the polar curve #r=e^theta# ? How do you find the length of the polar curve #r=theta# ? How do you find the length of the polar curve #r=5^theta# ? How do you find the length of the polar curve #r=cos^3(theta/3)#? How do you find the length of a petal of a polar curve? How do you find the exact length of the polar curve #r=3sin(theta)# on the interval #0<=theta<=pi/3# ? How do you find the exact length of the polar curve #r=1+sin(theta)# ? What is the arclength of #r=3/4theta # on #theta in [-pi,pi]#? What is the arclength of #r=4theta # on #theta in [-pi/4,pi]#? What is the arclength of #r=costheta-3sin2theta # on #theta in [-pi/4,pi]#? See all questions in Determining the Length of a Polar Curve Impact of this question 5498 views around the world You can reuse this answer Creative Commons License