Geometry Formula

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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:

 

segment
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:







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