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Area Calculator

Calculate the area of various geometric shapes including rectangles, squares, triangles, circles, and polygons. Get instant results with step-by-step explanations.

Shape Selection

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What is Area?

Area is the measure of the space inside a two-dimensional shape. It's calculated in square units such as square centimeters (cm²), square meters (m²), square inches (in²), or square feet (ft²).

Area Formulas:

  • Rectangle: A = length × width
  • Square: A = side²
  • Triangle: A = ½ × base × height
  • Circle: A = π × radius²
  • Parallelogram: A = base × height
  • Trapezoid: A = ½ × (base₁ + base₂) × height

Applications of Area:

  • Flooring and carpet calculations
  • Painting and wallpaper estimation
  • Land and property measurements
  • Garden and landscaping planning
  • Construction and architecture
  • Material quantity calculations

Frequently Asked Questions

How do I calculate the area of a shape?

Each shape has its own formula: rectangle = length × width, circle = π × radius², triangle = ½ × base × height. Select your shape and the calculator applies the right formula.

What units is area measured in?

Area is measured in square units — square meters (m²), square feet (ft²), square centimeters (cm²), and so on. Always square the linear unit you measured with.

How do I find the area of a circle?

Multiply pi (about 3.14159) by the radius squared: A = πr². For a radius of 5, the area is π × 25 ≈ 78.54 square units.

How do I calculate the area of a triangle?

Multiply the base by the height and divide by two: A = ½ × base × height. A triangle with base 10 and height 6 has an area of 30 square units.