Area Calculator
Calculate the area of rectangles, circles, triangles, and more.
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Area Calculator
Area Formulas for Common Shapes
Area measures the amount of two-dimensional space enclosed within a shape. It is expressed in square units (square meters, square feet, square inches, etc.). Knowing how to calculate area is essential in architecture, construction, interior design, landscaping, and everyday problem-solving.
| Shape | Formula | Example |
|---|---|---|
| Rectangle | A = length × width | 5 × 3 = 15 sq units |
| Circle | A = π × r² | π × 4² ≈ 50.27 sq units |
| Triangle | A = ½ × base × height | ½ × 6 × 4 = 12 sq units |
| Trapezoid | A = ½ × (a + b) × h | ½ × (3+5) × 4 = 16 sq units |
| Ellipse | A = π × a × b | π × 3 × 2 ≈ 18.85 sq units |
| Square | A = side² | 5² = 25 sq units |
Frequently Asked Questions
What is the difference between area and perimeter?
Area is the amount of space inside a 2D shape, measured in square units (cm², m², ft²). Perimeter is the total length of the boundary of the shape, measured in linear units. Both are related to size but measure different properties.
How do I convert between area units?
1 m² = 10,000 cm². 1 ft² = 144 in². 1 acre = 43,560 ft². 1 hectare = 10,000 m² = 2.471 acres. Multiply or divide carefully — area conversions involve squaring the linear conversion factor.
What is the area of an irregular shape?
For irregular shapes, break the shape into recognizable components (rectangles, triangles, circles), calculate each area separately, then add them together. For curved irregular shapes, numerical integration or grid counting methods are used.
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