## Properties of a Quarter-Circular Area

This tool calculates the basic geometric properties of a quarter-circular area. Enter the shape dimensions R or D below. The calculated results will have the same units as your input. Please use consistent units for any input.

 R = ...or D = Geometric properties: Area = Perimeter = Arc length = xc = yc =
$\begin{split} A & = \frac{\pi R^2}{4} \\ P & = \left(\frac{\pi}{2}+2\right) R \\ L & = \frac{\pi R}{2} \end{split}$
$x_c = y_c = \frac{4 r}{3 \pi}$