Chord of a Circle

Written by Jerry Ratzlaff on . Posted in Geometry

Chord of a Circlecircle chord1C

Chord of a Circle formula

\(\large{ c = 2r \sin \frac {\theta}{2}  }\)

\(\large{ c = 2 \sqrt {r^2 \;-\; h^2}  }\)

\(\large{ c \; \theta = \frac{C}{r} = 2 \; \left( arccos \frac{r \;-\; h'}{r} \right)    }\)

\(\large{ c \; \theta = 2 \; \left( arccos \frac{r \;-\; h'}{r} \right)    }\)

 

Where:

\(\large{ c }\) = chord

\(\large{ C }\) = circumference

\(\large{ h, h' }\) = height

\(\large{ r }\) = radius

\(\large{ \theta }\) = angle