Area Calculatrice

Calculer the area of rectangles, triangles, circles, trapezoids, and more with visual diagrams.

Calculer l'Aire

Area Formulas for Common Shapes

Area quantifies the amount of two-dimensional space enclosed within a shape's boundaries, expressed in square units (e.g., cm², m², sq ft). Understanding how to calculate area is essential for architecture, landscaping, and everyday home improvement projects like buying paint or flooring.

Geometric Shape Reference

Rectangle

Multiply the length by the width. Squares use the same formula where sides are equal.

Area = length × width

Example: A 12m × 10m room = 120 m²

Triangle

Multiply half the base by the perpendicular height. The height must be perpendicular to the base.

Area = ½ × base × height

Example: Base 10m, Height 6m = 30 m²

Circle

Multiply Pi (π ≈ 3.14159) by the squared radius. Radius is half the total diameter.

Area = π × r²

Example: Radius 7cm = 153.94 cm²

Trapezoid

Average the two parallel base lengths (a and b), then multiply by the perpendicular height.

Area = ½ × (a + b) × height

Example: Bases 4cm & 6cm, Height 5cm = 25 cm²

Practical Applications

  • Construction & Renovation: Determine tiles, carpet, drywall, or floorboards required.
  • Home Projects: Calculate volume of paint required to cover walls.

Key Conversions

  • 1 Square Meter = 10.764 Square Feet
  • 1 Hectare = 10,000 Square Meters

Frequently Asked Questions

What is area in math?
Area is the amount of space enclosed within a two-dimensional shape, measured in square units (e.g., square meters, square feet).
How do you calculate the area of a rectangle?
Multiply the length by the width: Area = length × width. For example, a rectangle that is 8 meters long and 5 meters wide has an area of 40 square meters.
What is the formula for the area of a circle?
Area = π × r², where r is the radius. For example, a circle with radius 7 has an area of π × 49 ≈ 153.94 square units.