Area of trapezoid = 1/2 h(b 1 + b 2) A regular polygon is a many-sided figure with all sides equal length. The area of this polygon is n times the area of triangle, since n triangles make up this polygon. The Area of a regular polygon, A = [S 2 n]/[4tan(180/n)] Square units. Area of a parallelogram given base and height. Polygon Calculator. This will work for triangles, regular and irregular polygons, convex or concave polygons. A polygon having equal sides, i.e. Area of a regular polygon. equilateral and equal angles i.e. Apothem is a segment that joins the polygon’s center to the midpoint of any side and it is perpendicular to that side. A method for finding the area of any polygon when the coordinates of its vertices are known. Area of a triangle given base and angles. Note: The content in this article pertains to ArcGIS versions 9.x and 10 only. Area of a square. Step 1: Find the area. A = [r 2 n sin(360/n)]/2 Square units. Using the fact that , one of the most famous limits in calculus, it is easy to show that .If the students have not yet been taught the basic limit, we can ask Maple for the answer: One way to find the area of any polygon is to find areas of all of its inside sections and then adding them together. To find the perimeter of a regular polygon we take the length of each side and multiply it by the number of sides. Instructions provided describe how to calculate the percentage of the area of a polygon layer against a larger polygon. Area of Irregular Polygons Introduction. Thus so ..Using the law of sines, .. Area = ((side)² * N) / (4Tan(π / N)) = ((3)² * 4) / (4 * Tan(3.14 / 4)) Regular: Irregular: The Example Polygon. Find the area of polygons with more than 4 sides. An apothem is also used sometimes to find the area of a regular polygon. 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. 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. The polygon could be regular (all angles are equal and all sides are equal) or irregular. So the formula for the area of the regular inscribed polygon is simply. Area of a cyclic quadrilateral. Area of a quadrilateral. Area of a parallelogram given sides and angle. It uses the same method as in Area of a polygon but does the arithmetic for you. Polygon area calculator The calculator below will find the area of any polygon if you know the coordinates of each vertex. How To: Calculate the percentage of area for polygons Summary. Procedure. First, we must calculate the perimeter using the side length. I just thought I would share with you a clever technique I once used to find the area of general polygons. 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 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. First, number the vertices in order, going either clockwise or counter-clockwise, starting at any vertex. Regular polygon area calculator also includes perimeter of a polygon calculator. Triangles, rectangles and pentagons are examples of polygon. If the circum-radius “r” of the regular polygon is given, then. Area of a rectangle. Example 1: Calculate the area of the regular polygon given that the number of sides is … Side of polygon given area. Area of a trapezoid. Find the Area of a Graphed Polygon. Area of Regular Polygon Example. equiangular is known as a regular polygon. Area of a rhombus. (See also: Computer algorithm for finding the area of any polygon .) Regular polygon calculator is an online tool to calculate the various properties of a polygon. Examples: Case 1: Find the area and perimeter of a polygon with the length 3 and the number of sides is 4.