Area of polygon using side length calculator
The Area of a Polygon Using Side Length Calculator: Review the Most Reliable One
The geometric concept of area of a polygon using side length is applicable in construction, design, and land surveying. From working with simple pentagons to even hexagons and other complex polygons, an area of a polygon using side length calculator ensures that the results are easy to obtain and reliable.
What Is the Area of a Polygon Exactly?
A polygon is a geometrical figure in two dimensions that have a defined number of straight edges and can be categorized as either a regular or an irregular polygon. A regular polygon is defined as a polygon with equal sides and equal angles, making it easy to calculate its area using side length. Irregular polygons do not have such straightforward approaches. Area of polygons refers to the space that is occupied by the area bounded by the polygon and is computed in square meter (m²) or square feet (ft²).
Formula for Area Determination of Polygon Given Its Length of The Sides
For regular polygons, the formula for calculating the area is:
A = (ns² × π/4 × cot(π/n))
- n = Number of sides
- s = One side’s length
- cot = Cotangent function
Example calculation for a hexagon (6 sides) with side length of 10 m:
(1/4 × 6 × 10 × cot(π/6)) = 259.81 Square Meters
Manually Calculating Area Vs Using An Online Applet
- Instant Results – Quick problem solving without long tedious formulas.
- Error Reduction – Decreased chances of mistakes occurring during calculations.
- Unit Adjustability – Switch between meter, feet, inch and so on with ease.
Benefits Provided By Online Polygon Area Estimator
- Speed and Precision
- User Friendly Interface
- Multiple Unit Option
- Accessibility
Instructions on Using an Online Polygon Area By Side Length Calculator
- Select the polygon’s number of sides.
- Enter the length of the sides.
- Select the unit needed (meters, feet, inches).
- Hit on ‘Calculate’ to get an area output.
Common Uses for Area of Polygon Calculations
- Construction
- Civil Engineering
- Interior Design
- Agricultural Planning
Common Errors in Polygon Area Calculation Using Side Length
- Inadequate Number of Sides
- Wrong Trigonometric Functions
- Measurement Units Mixture
Conversion of 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 Using Side Length
- What is the formula for calculating polygon area using side length?
- Can this formula be used for irregular polygons?
- How accurate are online polygon area calculators?
- What units can be used with the calculator?
- Where can I find a reliable polygon area calculator?
Conclusion
The side length calculator is a valuable tool for students and professionals because it provides accurate measurements for complex calculations.