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See also
Properties of a Circular area
Properties of a Quarter-Circular area
Properties of a Circular Sector
Properties of an Elliptical Area
All Geometric Shapes tools

Properties of a Semi-Circular Area

This tool calculates the basic geometric properties of a semi-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:
Radius =
Diameter =
Area =
Perimeter =
Arc length =
yc =
shape details
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Definitions

Geometry

The area A, the perimeter P and the arc length L of a semi-circular area, with radius R, can be found with these formulas:

\[ \begin{split} A & = \frac{\pi R^2}{2} \\ P & = \left(\pi+2\right) R \\ L & = \pi R \end{split} \]

The centroid (center of gravity) of the semi-circular area is located at a distance from the diameter that defines its border, given by the formula:

\[ y_c = \frac{4 r}{3 \pi} \]

See also
Properties of a Circular area
Properties of a Quarter-Circular area
Properties of a Circular Sector
Properties of an Elliptical Area
All Geometric Shapes tools