The formula for the length of a polar curve is<span>∫<span>r2+(dr/dθ<span>)2 from a to b.
In this case, dr/d</span></span></span>θ is the derivative of the function r which is equal to -cos (theta/2) * sin (theta/2)<span> which is equal to -1/2 cos theta. Since there are no limits defined, we leave the formula as it is but one can use the calculator if there are limits present already</span>