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A method for finding the area of any polygon - regular, irregular, convex, concave if you know the coordinates of the vertices.
- Polygon Area Calculator
The calculator below will find the area of any polygon if...
- Irregular Polygon Area
Area of an Irregular Polygon. Unlike a regular polygon,...
- Polygon Area Calculator
Area of an Irregular Polygon. Unlike a regular polygon, unless you know the coordinates of the vertices, there is no easy formula for the area of an irregular polygon. Each side could be a different length, and each interior angle could be different. It could also be either convex or concave.
The calculator below will find the area of any polygon if you know the coordinates of each vertex. This will work for triangles, regular and irregular polygons, convex or concave polygons. It uses the same method as in Area of a polygon but does the arithmetic for you. X. Y.
So, how do we calculate each area? Average the two heights, then multiply by the width. Example: For the shape highlighted above, we take the two heights (the "y" coordinates 2.28 and 4.71) and work out the average height: (2.28+4.71)/2 = 3.495. Work out the width (the difference between the "x" coordinates 2.66 and 0.72) 2.66-0.72 = 1.94
I was searching for methods on how to calculate the area of a polygon and stubled across this: http://www.mathopenref.com/coordpolygonarea.html. $$ \mathop{area} = \left\lvert\frac{(x_1y_2 − y_1x_...
1 Απρ 2019 · Finding the Area of an Irregular Polygon What is the formula for finding the area of an irregular polygon? Doctor Ali answered with some inventive terminology: Let's say the we have an n-gon of A1-A2-A3-...-An. Let's say that the coordinates of Ai are (Xi, Yi) and we have all the Xi's and Yi's.
7 Νοε 2016 · $\begingroup$ The Shoelace Formula/Algorithm allows you to find the area of any simple polygon given coordinates of its vertices. It's really just a special case of Green's theorem, which uses vector calculus to relate areas to perimeters. $\endgroup$ –
