Area Calculator
Calculate areas for various geometric shapes. Fill in the required dimensions and click calculate.
Rectangle Area Calculator
Triangle Area Calculator
Trapezoid Area Calculator
Circle Area Calculator
Sector Area Calculator
Ellipse Area Calculator
Parallelogram Area Calculator
Understanding Area
Area is the measurement of the extent of a two-dimensional surface or shape. The SI unit for area is the square meter (m²). Area calculations are fundamental in geometry and have practical applications in fields like construction, land measurement, and design.
The area of simple shapes can be calculated using specific formulas. For more complex shapes, the area can often be determined by breaking them down into simpler components whose areas can be calculated separately and then summed. In advanced mathematics, integration techniques can be used to calculate areas of shapes with irregular boundaries.
Common Area Units
| Unit | Square Meters | Square Feet |
|---|---|---|
| square millimeter | 0.000001 | 0.00001076 |
| square centimeter | 0.0001 | 0.001076 |
| square inch | 0.000645 | 0.006944 |
| square foot | 0.0929 | 1 |
| square yard | 0.8361 | 9 |
| square meter | 1 | 10.764 |
| acre | 4046.86 | 43,560 |
| hectare | 10,000 | 107,639 |
| square kilometer | 1,000,000 | 10,763,910 |
Related Calculators
Area Calculation Quick Facts
- •Area measures 2D space covered by a shape
- •The SI unit is square meter (m²)
- •1 hectare equals 10,000 square meters
- •For land measurement, acres and hectares are commonly used
- •Perimeter measures the boundary length, while area measures the enclosed space
Frequently Asked Questions
What's the difference between area and perimeter?
Area refers to the amount of two-dimensional space a shape covers, measured in square units. Perimeter is the total length around the boundary of a shape, measured in linear units. For example, a fence around a yard would be the perimeter, while the grass inside would be the area.
How do I calculate area for irregular shapes?
For irregular shapes, you can often divide them into regular shapes (like rectangles and triangles), calculate each area separately, and then sum them up. For very complex shapes, mathematical methods like integration or digital tools with area measurement features can be used.
Why are there different formulas for different shapes?
Different shapes have different geometric properties that determine how their area is calculated. Simple shapes like squares and circles have straightforward formulas based on their symmetrical properties. More complex shapes require more sophisticated formulas that account for their unique dimensions.
How accurate are these area calculations?
The calculations are mathematically precise for perfect geometric shapes. In practical applications, accuracy depends on how precisely you can measure the dimensions and how closely the actual shape matches the ideal geometric form. Always account for measurement errors in real-world applications.
When would I need to calculate area in real life?
Area calculations are used in many everyday situations like determining how much paint to buy for a wall, calculating the size of a garden plot, estimating carpet or flooring needs, planning construction projects, and in many professional fields like architecture, engineering, and land surveying.