Segment
- See Sector
Circle segment formula
Area: \(\; A= \frac {1}{2} r^2 \left( \phi - sin\phi \right) \)
\(\phi\) : \(\; \phi= \frac {c}{r} = 2 \left( arccos \frac {r-e} {r} \right) \)
Length: \(\; d= 2r \;sin\; \frac { \phi } {2} \)
Where:
\(A\) = area
\(r\) = radius
\(c\) = arc length
\(\phi \) = vertex angle in radius
\(d\) = length
\(e\) = height
\(sin\) = sine
\(arcos\) = arccosine