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  1. www.mathopenref.com › coordpolygonareaArea of any polygon (Coordinate Geometry) - Math Open Reference

    A method for finding the area of any polygon - regular, irregular, convex, concave if you know the coordinates of the vertices.

  2. www.mathopenref.com › polygonirregularareaArea of an Irregular Polygon - Math Open Reference

    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.

  3. www.mathsisfun.com › geometry › area-irregular-polygonsArea of Irregular Polygons - Math is Fun

    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

  4. study.com › academy › lessonArea of an Irregular Polygon | Formula, Technique & Examples

    21 Νοε 2023 · How do you find the area of an irregular polygon? There are two main ways to do it: 1 - Break down the irregular figure into several regular ones. Calculate the area of the regular figures...

  5. math.stackexchange.com › questions › 492407Area of an irregular polygon - Mathematics Stack Exchange

    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_...

  6. www.themathdoctors.org › polygon-coordinates-and-areasPolygon Coordinates and Areas - The Math Doctors

    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. www.mathopenref.com › coordpolygonareacalcArea of a polygon calculator - Math Open Reference

    Polygon area calculator 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.