## Properties of a Circular sector

This tool calculates the basic geometric properties of a circular sector. Enter the shape dimensions R and φ below. The calculated results will have the same units as your input. Please use consistent units for any input.

 R = φ = deg rad Geometric properties: Area = Perimeter = Arc length = rc =
$\begin{split} A & = \frac{\varphi}{2} R^2 \\ P & = \left(\varphi+2\right) R \\ L & = \varphi R \end{split}$
$r_c = \frac{4 r \sin{\frac{\varphi}{2}} }{3 }$