Land Area Calculator Online
Area Calculator
Area Calculations for Common Shapes
Area will be displayed in m²
Formula: Area = Length × Width
Rectangle Dimensions
Area measures the amount of 2D space inside a shape, expressed in square units. This calculator handles the most common shapes with instant results and the relevant formula for each. Whether you need it for flooring, gardening, math homework, or construction planning, finding area is quick and straightforward.
Area Formulas for Common Shapes
Each shape has its own formula based on its geometry. For irregular shapes, break them into simpler shapes, calculate each area separately, and add them together (or subtract for cutouts).
| Shape | Formula | Variables |
|---|---|---|
| Rectangle | A = l × w | length, width |
| Square | A = s² | side length |
| Triangle | A = ½ × b × h | base, height |
| Circle | A = π × r² | radius |
| Trapezoid | A = ½ × (b1+b2) × h | both bases, height |
| Parallelogram | A = b × h | base, height |
| Ellipse | A = π × a × b | semi-axes a and b |
Unit Conversions for Area
Area units scale by the square of the linear unit. This catches many people off guard: 1 foot = 12 inches, but 1 square foot = 144 square inches (12²). When converting between area units, always square the conversion factor.
1 sq ft = 144 sq in 1 sq yd = 9 sq ft 1 acre = 43,560 sq ft 1 sq meter = 10.764 sq ft
Frequently Asked Questions
How do I find the area of an irregular shape?⌄
Divide the shape into regular shapes you know how to calculate (rectangles, triangles, circles). Calculate the area of each piece and add them together. For cutouts or holes, calculate the outer area first and subtract the inner area.
What is the area of a circle with diameter 10?⌄
Radius = diameter / 2 = 5. Area = π × 5² = π × 25 ≈ 78.54 square units. Note: always use radius (half the diameter) in the circle area formula.
How many square feet in an acre?⌄
One acre = 43,560 square feet. For reference, a square with sides of 209 feet would be almost exactly one acre. A football field (including end zones) is about 1.32 acres.
How do I calculate how much flooring I need?⌄
Measure the length and width of each room, multiply to get each room's area, then add all rooms together. Add 10-15% extra for cuts, waste, and future repairs. For rooms with irregular shapes, divide into rectangles and triangles.