Calculating arc length of Bezier curves by hand I was wondering if there was a viable method to calculate arc length of a quadratic Bezier curve without using coding. If I know the points of P0, P1 and P2, would it be possible to calculate the arc length of quadratic Bezier curve?

Yes, you can do this calculation "by hand", without using computer numerical methods.
First, convert your quadratic Bezier curve into polynomial form, $P(t) = At^2 + Bt + C$. If the curve's control points are $P_0$, $P_1$, $P_2$, then $A = P_0 -2P_1 + P_2$, $B= 2P_1 - 2P_0$, and $C=P_0$.
Now you have to calculate the integral that represents arclength. This integral is of the form $\int{\sqrt{t^2 + pt + q}\,dt}$, so it can be computed by hand, though it's fairly complicated. The details are given here.
For further info, just do a Google search for "arclength of quadratic Bezier curve".
