Area Calculator
Calculate the area of common geometric shapes including rectangle, triangle, circle, trapezoid, parallelogram, ellipse, and sector. Enter the required dimensions for each shape to get instant results with formulas and explanations.
Area Formulas
- Rectangle: Area = Length × Width
Calculation Results
Area
50 square units
Shape Visualization
About Area Calculation
Area is the quantity that expresses the extent of a two-dimensional figure or shape in the plane. The area of a shape can be measured by comparing the shape to squares of a fixed size. In the International System of Units (SI), the standard unit of area is the square meter (m²), which is the area of a square whose sides are one meter long.
Common Area Formulas
Different shapes have different formulas for calculating their area:
- Rectangle: Area = length × width
- Triangle: Area = ½ × base × height
- Circle: Area = π × radius²
- Trapezoid: Area = ½ × (base1 + base2) × height
- Parallelogram: Area = base × height
- Ellipse: Area = π × major axis × minor axis
- Sector: Area = (angle/360) × π × radius²
Units of Area
Area can be measured in various units. Common units include:
Metric Units
- Square millimeter (mm²)
- Square centimeter (cm²)
- Square meter (m²)
- Square kilometer (km²)
- Hectare (ha) = 10,000 m²
Imperial/US Units
- Square inch (in²)
- Square foot (ft²)
- Square yard (yd²)
- Square mile (mi²)
- Acre = 43,560 ft²
Practical Applications
Area calculations are essential in many real-world applications:
Construction
Calculating floor area for flooring materials, wall area for painting, or roof area for shingles.
Agriculture
Determining field sizes for planting, irrigation planning, and yield estimation.
Land Surveying
Measuring property boundaries and calculating land areas for legal and planning purposes.