Chord

Written by Jerry Ratzlaff on . Posted in Geometry

Formula

$$c_l = 2r \sin \frac {c}{2}$$

$$c_l = 2 \sqrt {r^2-d^2}$$

Where:

$$c_l$$ = chord length

$$r$$ = radius

$$c$$ = the subtended angle at the center of the chord

$$d$$ = the perpendicular distance from the chord to the circle center

$$\sin$$ = sine

$$\sqrt a$$ = square root