Area of polygon calculator
The Most Efficient Area of Polygon Calculator Everyone Should Have
For any development, land planning, or architectural works, the area of a polygon is very important to know and to calculate accurately. Easy to use and correctly built area of polygon calculators are useful for decreasing mistakes and saving time when dealing with regular and not regular polygons. Now, with the help of online tools, obtaining accurate measurements has never been this easy.
The Understanding of Polygon Area: Explanation and Definition
A polygon is described as a plane figure bounded by a finite number of straight line segments. Polygons can be sorted into groups according to their angles and sides, such as regular which are equilateral and equiangular, and irregular which have different lengths and angles. In simple description, it refers to a measurement of a figure’s two-dimensional space. For example, the area of a polygon is defined as the total surface contained by a given polygon shape, formed by straight lines and angles. It is often expressed in square units. Commonly, it is denoted in square meters (m2) and square feet (ft2).
Types of Polygons
- Triangles (3 sides): The most basic type of a polygon
- Quadrilaterals (4 sides): These include squares, rectangles and parallelograms
- Pentagon (5 sides): This is further divided into regular and irregular types
- Hexagons (6 sides): Commonly found in tiling and many branches of engineering.
- Complex Polygons: These are less regular in their geometry and have an irregular shape which consists of multiple sides.
Common Formulas For Polygon Area Calculation
Different types of polygons have particular needs for a correct area measurement. Whereas several formulas are at use, these tend to be among the most popular ones:
- Triangle area is expressed as A = 1/2 * base * height
- Rectangle can be measured as length * width
- Regular polygons are calculated with the formula: A = 1/4 * n * s^2 * cot (pi/n)
- Irregular Shapes and polygons tend to require division into smaller regular sections.
Advantages of Using an Online Polygon Area Calculator
- Instant Calculations: Saves time
- Accuracy: Reduces human mistakes
- Versatile Input Options: More than one side length can be entered
- Unit Flexibility: Change from square meters to feet, inches, and others.
How to Use an Online Area of a Polygon Calculator
- Select the polygon type (regular or irregular).
- Key in the unit measurements of other required values like the sides apothem.
- Choose appropriate measurement unit (meters, feet, inches).
- After clicking “Calculate,” the result will be displayed.
- Convert the output into other units if required.
Conversion of the Polygon Area Units
| From | To | Conversion Factor |
|---|---|---|
| Square meters | Square feet | Multiply by 10.764 |
| Square inches | Square feet | Divide by 144 |
| Acres | Square meters | Multiply by 4046.86 |
FAQs on Polygon Area Calculation
What is the formula for the area of regular polygon? The correct formula is 1/4 ns^2 cot(𝜋*n/4), where “n” is the number of sides and s is the length of the side.
How can I calculate an area of irregular polygon? The precise method would be to split the figure into small triangles and rectangles and then add their areas.
Can I use different units to find polygon area? Indeed, most calculators permit changes from square meters to feet and even inches.
How accurate are online polygon area calculators? They are almost accurate to the highest degree and it is very rare to find an error.
What is the best tool for polygon area calculation? Yet, we recommend web-based resources such as calculator3.com, which is deemed trustworthy for the efficient calculations.
Conclusion
As a student, engineer, or designer, there is no doubt that the use of the area of polygon calculator will come in handy. You can always rely on online polygon calculators to yield quick and precise results regardless of whether you are dealing with basic or intricate shapes.