Displaystyle int sqrt dx2 dy2 dx2 dy2 The bounds of this integral depend on how you define the curve. Plug the measurement of the arcs central angle into the formula. You can find the length of the sagitta using the formula.
We find out the arc length formula when multiplying this equation by th.
In this section we use definite integrals to find the arc length of a curve. Remember the circumference of a circle pi d and the diameter 2 times text radius. The 1 part of the Arc Length Formula guarantees we get at least the distance between x values such as this case where f x is zero. The length of the chord sagitta and radius of the arc are inter-related and if you know any two you can calculate the third.