How To: Calculate the percentage of area for polygons Summary. First, we must calculate the perimeter using the side length. Area of a parallelogram given sides and angle. I just thought I would share with you a clever technique I once used to find the area of general polygons. Area of Regular Polygon Example. So the formula for the area of the regular inscribed polygon is simply. Area of a trapezoid. Polygon Calculator. Side of polygon given area. Area of a quadrilateral. Instructions provided describe how to calculate the percentage of the area of a polygon layer against a larger polygon. Area of a parallelogram given base and height. Area of trapezoid = 1/2 h(b 1 + b 2) A regular polygon is a many-sided figure with all sides equal length. A polygon having equal sides, i.e. The area of this polygon is n times the area of triangle, since n triangles make up this polygon. It uses the same method as in Area of a polygon but does the arithmetic for you. Area of a rectangle. Thus so ..Using the law of sines, .. Area of a cyclic quadrilateral. This will work for triangles, regular and irregular polygons, convex or concave polygons. (See also: Computer algorithm for finding the area of any polygon .) Area of a triangle given base and angles. Regular: Irregular: The Example Polygon. Procedure. Area of Irregular Polygons Introduction. First, number the vertices in order, going either clockwise or counter-clockwise, starting at any vertex. The Area of a regular polygon, A = [S 2 n]/[4tan(180/n)] Square units. An apothem is also used sometimes to find the area of a regular polygon. Area of a square. A method for finding the area of any polygon when the coordinates of its vertices are known. If the circum-radius “r” of the regular polygon is given, then. One way to find the area of any polygon is to find areas of all of its inside sections and then adding them together. The polygon could be regular (all angles are equal and all sides are equal) or irregular. Find the area of triangles, quadrilaterals, and polygons by composing rectangles (6.G.1) Area of Polygons (6.G.1) A trapezoid is a quadrilateral with only one pair of parallel sides. To find the area of any polygon with the side length and the apothem we must know the equation for the area of a polygon which is. Find the Area of a Graphed Polygon. Example 1: Calculate the area of the regular polygon given that the number of sides is … Area of a regular polygon. Apothem is a segment that joins the polygon’s center to the midpoint of any side and it is perpendicular to that side. Examples: Case 1: Find the area and perimeter of a polygon with the length 3 and the number of sides is 4. equilateral and equal angles i.e. It can be used to calculate the area of a regular polygon as well as various sided polygons such as 6 sided polygon, 11 sided polygon, or 20 sided shape, etc.It reduces the amount of time and efforts to find the area or any other property of a polygon. Find the area of polygons with more than 4 sides. equiangular is known as a regular polygon. Triangles, rectangles and pentagons are examples of polygon. Regular polygon area calculator also includes perimeter of a polygon calculator. To find the perimeter of a regular polygon we take the length of each side and multiply it by the number of sides. Step 1: Find the area. A = [r 2 n sin(360/n)]/2 Square units. Note: The content in this article pertains to ArcGIS versions 9.x and 10 only. Area = ((side)² * N) / (4Tan(π / N)) = ((3)² * 4) / (4 * Tan(3.14 / 4)) Area of a rhombus. 3rd Grade, Math, Common Core: 3.MD.C.8 Students will learn how to find the area of a polygon by adding the area of smaller rectangles. Regular polygon calculator is an online tool to calculate the various properties of a polygon. 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