In this section we use definite integrals to find the arc length of a curve. S a b 1 d y d x 2 d x. Determine the length of a curve x gy between two points.
Make sure you dont mix up arc length with the measure of an arc which is the degree size of its.
Determine the length of a curve x gy between two points. 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. Eqy sin x frac dy dx cos x eq Using the arc length formula we get the arc length. Arc length AB m AB 360 2pr A r c l e n g t h A B m A B 360 2 p r.