Geometry Formula

The ChE World

The Chemical Engineers' World
Conversion | Geometry Formula | Chocked Flow | Chemical Properties Home | Contact Us | Sitemap
In geometry, a circular segment (symbol: ⌓) is an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or a chord. The circle segment constitutes the part between the secant and an arc, excluding of the circle's center. Wikipedia

Type any number into the fields, the other field will be calculated automatically.

Segment of Circle:


The circular segment is shaded in yellow.
Radius (R): R = h + d
Arc Length (L):

\small \bold{\color{blue} L = \frac{\theta}{180^o}\ \pi r}

Chord Length (c):

\small \bold{\color{blue} c = 2R \sin \left (\frac {\theta \pi}{360^o} \right)}

Height (h):

\small \bold{\color{blue} h = R \left [1 - \cos \left (\frac {\theta \pi}{360^o} \right) \right]}

Area (A):

\small \bold{\color{blue} A = \frac {R^2}{2} \left [\frac {\theta \pi}{180^o} - \sin \left (\frac {\theta \pi}{180^o} \right) \right]}

Angle (Θ):

\small \bold{\color{blue} \theta = 2 \arccos \left (\frac {d}{R} \right )}


\small \theta \ in \ degree.

Select first and second variable!
Need an angle conversion to degree? Click here!

Variable 1:

All our online converters are free to use. We try to keep our software free of bugs and errors but we do not take any responsibility for any problems caused through the use of these calculators and converters.

Units Converter | Complex Units Converter | Currency Converter | Date Converter | Geometry Formula | Universal Constants | Contact Us | Sitemap