Area of Irregular Polygons Introduction. The basic polygons which are used in geometry are triangle, square, rectangle, pentagon, hexagon, etc. Automotive Aviation Business Communications Computer Construction Electronics Everyday Use Financial General Interest Geography Related Health: Home Repair Javascript Lottery Marine Math Help Math Scripts Mechanical Money Active 1 year, 11 months ago. Area calculator See Polygon area calculator for a pre-programmed calculator that does the arithmetic for you. The following table gives the formulas for the area of polygons.

12-sided polygon, dodecagon with 5-inch sides. Polygons can be regular and irregular. The vertices coordinates must be input in order: either clockwise or anticlockwise. Search or Browse Our Site. Scroll down the page if you need more explanations about the formulas, how to use them as well as worksheets.

In our example, it's equal to 5 in. The generally accepted manner for finding the area of an irregular polygon is to break it up into triangles and possibly a rectangle, then calculate each and add the totals.
So you googled the internet for area-of-polygon algorithms and found only cryptic, greek formulas, or pages telling you to break your polygon up into lots of little triangles?

Let's assume that you want to calculate the area of a specific regular polygon, e.g. 3. Irregular Hexagon: Area Now that we know how to find the area of rectangles and triangles, we're ready to find the area of Ellia's hexagons. Just enter the coordinates. 12-sided polygon, dodecagon with 5-inch sides. In general, perimeter refers to the distance around the outer side of the polygon.

Ultra-Easy Polygon Area Algorithm With C Code Sample ©2006 Darel Rex Finley. Calculating Area of Irregular Polygon in C#. It is measured in units squared. Our area of polygon calculator displays the area. The polygon could be regular (all angles are equal and all sides are equal) or irregular Area of an Irregular Polygon. Area of Irregular Polygons How to find the area of irregular polygons by following 4 simple steps: 1. Polygons are two-dimensional geometric objects composed of points and straight lines connected together to close and form a single shape. Videos, worksheets, stories and songs to help Grade 5 students learn how to find the perimeter and area of irregular polygons. Type in the polygon side length. I just thought I would share with you a clever technique I once used to find the area of general polygons.

Let's assume that you want to calculate the area of a specific regular polygon, e.g. This will give us the area of the entire irregular polygon.

In case you have a polygon with more than 10 vertices, divide it into smaller polygons find the area of each polygon and add them to obtain the total area. Area of Polygons - Formulas. ... a Stack Overflow-like site, only for math questions, just make sure you pose the question as a non-programming one and instead ask for the algorithmic approach. Enter the number of sides of chosen polygon. Area of a polygon is the region occupied by a polygon. Put 12 into the number of sides box. Unlike regular polygon, irregular polygon does not holds the same length on each sides. The output is the area of the irregular polygon.

The area of a polygon measures the size of the region enclosed by the polygon. Enter the length of the sides for each triangle you use; up to 10 of them. Irregular polygons are polygons that have unequal angles and unequal sides, as opposed to regular polygons which are polygons that have equal sides and equal angles.
Ask Question Asked 10 years, 5 months ago.

Enter the number of sides of chosen polygon.

Since it was partitioned into three different rectangles, we add all three products. Put 12 into the number of sides box. This complete article, unmodified, may be freely distributed for educational purposes. Unlike a regular polygon, unless you know the coordinates of the vertices, there is no easy formula for the area of an irregular polygon. 2.

Total Irregular Polygon Area square units Version 2.9.1 Leave us a question or comment on Facebook .

A polygon is the two dimensional object. Type in the polygon side length. Our area of polygon calculator displays the area. Thus the perimeter of the irregular polygon is calculated by adding the side lengh of each sides.

Limitations This method will produce the wrong answer for self-intersecting polygons, where one side crosses over another, as shown on the right. Break the shape up into rectangles (or triangles). It's 279.9 in². It's 279.9 in². It could also be either convex or concave. Each side could be a different length, and each interior angle could be different. Use parallel lines to find the lengths of missing sides. In our example, it's equal to 5 in.

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