📈 Area Calculator

What is Area?

Area is the measurement of the 2-dimensional space enclosed within a shape. It is expressed in square units — square meters (m²), square feet (ft²), square centimeters (cm²), acres, or hectares. Our area calculator online quickly computes the area of any common geometric shape including circles, rectangles, triangles, trapezoids, and more.

Area Formulas for Common Shapes

• Rectangle/Square: Area = Length × Width
• Triangle: Area = (Base × Height) / 2
• Circle: Area = π × r² (where r = radius)
• Trapezoid: Area = ((a + b) / 2) × h (where a, b = parallel sides, h = height)
• Parallelogram: Area = Base × Height
• Ellipse: Area = π × a × b (where a, b = semi-major and semi-minor axes)
• Regular Hexagon: Area = (3√3 / 2) × s² (where s = side length)

Real-World Applications of Area Calculation

Area calculations are essential in everyday life. When buying flooring or carpet, you need the floor area to know how much material to purchase. When painting walls, knowing the total surface area helps estimate paint needed. In gardening and landscaping, area helps calculate fertilizer, seeds, or sod required. In construction, floor plan area determines material costs and property valuation.

Land Area Measurement Units in India

In India, different regions use different land measurement units. Common units include: Bigha (varies by state — 1 bigha = 1,333 to 6,771 sq meters), Gunta/Guntha (101.17 sq meters), Acre (4,047 sq meters), Hectare (10,000 sq meters), Marla (25.3 sq meters, used in North India). Our calculator works with standard units — use conversion factors for regional units.

How to Measure Area of an Irregular Shape

For irregular shapes, divide the area into regular shapes (rectangles, triangles), calculate each separately, and add them together. Alternatively, use the coordinate geometry method — if you have the GPS coordinates of all corners, the Shoelace formula calculates the exact area. For land surveying purposes, always consult a licensed surveyor for legal documentation.