Geometry Formula

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A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. In the diagram, θ is the central angle in radians, r the radius of the circle, and L is the arc length of the minor sector. A sector with the central angle of 180 is called a semicircle. Sectors with other central angles are sometimes given special names, these include quadrants (90), sextants (60) and octants (45). The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is equal to half the central angle. Wikipedia

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

Sector of Circle:


The circular sector is shaded in green.
Radius = r
Arc Length (L):

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

\small {\theta \ in \ degree}

Perimeter (P): P = L + 2r
Area (A):

\small \bold{\color{blue} A = \frac{\theta}{360^o}\ \pi r^2}

\small {\theta \ in \ degree}

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

Variable 1:

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