Quadratic Equation Solver (ax² + bx + c = 0)
About Area Calculator
The Universal 2D Surface Area Calculator computes planar surface areas for Circles, Triangles, Rectangles, Trapezoids, Ellipses ($A = \pi a b$), Parallelograms, Rhombuses, Sectors, and Complex Compound composite shapes with automatic unit conversion (sq ft, sq meters, acres, hectares).
How to Use Area Calculator
Step 1
Select shape geometry from the catalog.
Step 2
Enter required dimensional parameters (radius, base, height, axes).
Step 3
Review computed surface area in primary and converted units.
Step 4
Click "Copy Area Value".
Practical Use Cases for Area Calculator
Real Estate Land Acreage & Turf Grass Seeding
Calculate total lawn and lot acreage for sod ordering, fertilizer application rates, and property boundaries.
Interior Painting & Tile Floor Material Estimation
Combine multiple room wall and floor shapes, subtracting window and door cutouts to compute net square footage.
Input & Output Examples
Calculating Ellipse with Semi-Axes a = 6m, b = 4m
Shape: `Ellipse`, Semi-Major a: `6.0 m`, Semi-Minor b: `4.0 m`
Area: `75.3982 m²` | Unit Equivalents: `811.58 sq ft` | `0.0186 acres` | `0.00754 hectares`
Key Features & Performance
- ✓Shape Catalog: Square, Rectangle, Triangle, Circle, Sector, Ellipse, Trapezoid, Parallelogram, Rhombus, Regular Polygon ($N$-gon).
- ✓Compound Shape Mode: add and subtract multiple geometrical areas for complex floor plans.
- ✓Converts output units across: sq mm, sq cm, sq m, sq km, sq inches, sq feet, sq yards, acres, and hectares.
- ✓100% Client-Side memory execution.
- ✓1-Click Copy computed area in all unit formats.
Key Terminology & Definitions
Planar Area
The two-dimensional measure of the amount of space inside the boundary of a flat geometric surface.
Acre
An imperial unit of land area equal to 43,560 square feet (approx. 4,046.86 square meters or 0.4047 hectares).
