Centroids of Plane Areas

Calculate the centroid and area of various plane shapes: square, rectangle, circle, semi-circle, and right-angled triangle.

Centroids of Plane Areas

The centroid of an area is the point where the whole area is considered to be concentrated. This tool calculates the centroid coordinates (x, y) and area for common plane shapes.

Supported Shapes:

Square: Equal sides
Rectangle: Different length and width
Circle: Defined by radius
Semi-Circle: Half circle
Right-angled Triangle: Right angle at origin

Shape	Parameter(s)	Centroid X	Centroid Y	Area
Square	a = inputs.side_a	inputs.side_a / 2	inputs.side_a / 2	inputs.side_a ^ 2
Rectangle	a = inputs.rect_a, b = inputs.rect_b	inputs.rect_a / 2	inputs.rect_b / 2	inputs.rect_a * inputs.rect_b
Circle	r = inputs.radius	inputs.radius	inputs.radius	3.14159 * inputs.radius ^ 2
Semi-Circle	r = inputs.semi_radius	4 * inputs.semi_radius / (3 * 3.14159)	inputs.semi_radius	3.14159 * inputs.semi_radius ^ 2 / 2
Right-angled Triangle	b = inputs.triangle_b, h = inputs.triangle_h	inputs.triangle_b / 3	inputs.triangle_h / 3	inputs.triangle_b * inputs.triangle_h / 2

Centroids of Plane Areas | MEPKit Engineering Tools | MEPKit