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

  2. Area of N-Sided Polygon. Formulas. Example. Area of Polygon Definition. The area of any given polygon whether it a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as the region occupied by it in a two-dimensional plane.

  3. The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

  4. What is the Area of a Polygon? In geometry, the area is defined as the region occupied inside the boundary of a two-dimensional figure. Therefore, the area of a polygon is the total space or region bound by the sides of a polygon. The standard units for the measurement of the area are square meters (m 2). How to Find the Area of a Polygon?

  5. 7 Οκτ 2019 · This is a nice algorithm, formally known as Gauss’s Area formula, which allows you to work out the area of any polygon as long as you know the Cartesian coordinates of the vertices. The case can be shown to work for all triangles, and then can be extended to all polygons by first splitting them into triangles and following the same approach.

  6. Area. = 93.5. The formulae below give the area of a regular polygon. Use the one that matches what you are given to start. They assume you know how many sides the polygon has. Most require a certain knowledge of trigonometry (not covered in this volume, but see Trigonometry Overview). 1. Given the length of a side.

  7. N-sided Polygon. Content Objective: Students will deduce the general expressions for perimeter and area of an n-sided polygon based on the previous lessons. Students will understand the concept of representing the number of sides of a regular polygon with the variable n. Procedure: Perimeter. 1.

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