Area and perimeter calculator for geometric shapes
Calculating the area and perimeter of geometric shapes is a frequent need in construction, design, decoration, gardening, and many other everyday activities. The geometry calculator solves these operations instantly for the most common shapes.
Main formulas
- Square: Area = side²; Perimeter = 4 × side.
- Rectangle: Area = base × height; Perimeter = 2(base + height).
- Triangle: Area = (base × height) / 2; Perimeter = sum of three sides.
- Circle: Area = π × radius²; Perimeter (circumference) = 2π × radius.
- Trapezoid: Area = ((long base + short base) × height) / 2.
Difference between area and perimeter
Perimeter is the total length of a figure's outline (how long its border is). Area is the surface it occupies (how much interior space it has). To paint a wall you need the area; to add baseboards you need the perimeter.
Practical applications
Construction: calculating needed materials (tiles, paint, laminate flooring). Gardening: seeds or fertilizer per m². Sewing: how much fabric you need for a piece. Computer graphics: collision detection and computational geometry.