Centroids of Plane Areas
The controid of square, rectangle, circle, semi-circle and right-angled triangle.
The centroid of an area is the point where the whole area is considered to be concentrated.
Square
Distance
x = a / 2 (1a)
y = a / 2 (1b)
Area
A = a2 (1c)
Rectangle
Distance
x = a / 2 (2a)
y = b / 2 (2b)
Area
A = a b (2c)
Circle
Distance
x = r (3a)
y = r (3b)
Area
A = π r2 (3c)
Semi-Circle
Distance
x = 4 r / (3 π) (4a)
y = r (4b)
Area
A = π r2/ 2 (4c)
Right-angled Triangle
Distance
x = b / 3 (5a)
y = h / 3 (5b)
Area
A = b h / 2 (5c)
Related Topics
-
Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
-
Area Units Converter
Convert between units of area. -
Circle Equation
The equation for a circle -
Circles - Circumferences and Areas
Circumferences and areas of circles with diameters in inches. -
Circles Outside a Circle
Calculate the numbers of circles on the outside of an inner circle - like the geometry of rollers on a shaft. -
Elementary Curves
Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines. -
Equal Areas - Circles vs. Squares
Radius and side lengths of equal areas, circles and squares. -
Geometric Shapes - Areas
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids .. -
Hexagons and Squares - Diagonal Lengths
Distances between corners for hexagons and squares. -
Pythagorean Theorem
Verifying square corners. -
Right Angled Triangle
Right angled triangle equations. -
Smaller Rectangles within a Larger Rectangle
The maximum number of smaller rectangles - or squares - within a larger rectangle (or square). -
Solids - Volumes and Surfaces
The volume and surface of solids like rectangular prism, cylinders, pyramids, cones and spheres - online calculator. -
Trigonometric Functions
Sine, cosine and tangent - the natural trigonometric functions.
