Area Calculator
Enter dimensions in the linear unit for m² (e.g. meters).
| Unit | Area |
|---|---|
| m² | 50 |
| cm² | 500000 |
| ft² | 538.195521 |
| in² | 77500.155 |
A = length × width
Area Formulas for Common Shapes
Area measures the amount of two-dimensional surface enclosed by a shape, expressed in square units such as m², cm², ft², or in². Different shapes require different formulas based on their geometry. This calculator provides nine shape tabs, each with the appropriate inputs and formula displayed below the tool.
For a rectangle, A = length × width. A triangle can be found from base and height (A = ½bh) or from three sides via Heron's formula when height is unknown. A circle uses A = πr². A trapezoid with parallel sides a and b and height h has A = ½(a+b)h. An ellipse with semi-axes a and b has A = πab.
A parallelogram follows A = base × height (perpendicular height, not slant side). A rhombus uses its diagonals: A = ½d₁d₂. A regular n-gon with side s has A = ¼ns²·cot(π/n). A circular sector with radius r and angle θ° has A = (θ/360)πr².
Results are computed in square meters internally and converted to your chosen display unit. Toggle between metric (m², cm²) and imperial (ft², in²) using the unit selector. A table shows the equivalent area in all four units for easy comparison.
Each shape includes a schematic SVG diagram. Enter the dimensions for your selected shape and the calculator returns the area instantly with the formula shown for reference.
Examples
| Example | Result |
|---|---|
| Rectangle 10 × 5 | 50 sq units |
| Triangle b=8, h=6 | Area = 24 |
| Circle r=3 | A ≈ 28.27 |
| Trapezoid a=4, b=8, h=5 | A = 30 |
Frequently asked questions
Use base × height when you know the altitude. Use three sides (Heron) when you only know side lengths.
Yes. Enter the two semi-axis lengths a and b, not the full widths.
Yes. Choose m², cm², ft², or in²; all conversions are shown in the results table.