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Area Calculator

Calculate area and perimeter for 2D shapes
Circle
Square
Rectangle
Triangle
Trapezoid
Parallelogram

Optional: Enter all three sides for perimeter calculation

Select a shape and enter dimensions to calculate area.

2D Area Formulas Guide

What is Area?

**Area** is the amount of two-dimensional space inside the boundary of a flat (2D) object. It's measured in square units (e.g., square meters, square feet, square centimeters).

Common 2D Shapes

1. Circle

Area: A = πr²

Perimeter (Circumference): C = 2πr

A perfectly round shape. Examples: pizza, wheel, coin.

2. Square

Area: A = a²

Perimeter: P = 4a

All sides equal, all angles 90°. Examples: chess board square, tile.

3. Rectangle

Area: A = l × w

Perimeter: P = 2(l + w)

Opposite sides equal. Examples: paper, screen, door.

4. Triangle

Area: A = ½bh

Perimeter: P = a + b + c

Three-sided polygon. Examples: yield sign, roof truss.

5. Trapezoid

Area: A = ½(b₁ + b₂)h

Quadrilateral with one pair of parallel sides.

6. Parallelogram

Area: A = bh

Perimeter: P = 2(b + s)

Opposite sides parallel and equal.

Real-World Applications

  • Flooring: Calculate square footage for tiles or carpet
  • Painting: Determine wall area for paint coverage
  • Landscaping: Measure lawn or garden space
  • Construction: Plan building layouts and materials
Quick Tips
  • Unit Consistency
    Always use the same units for all dimensions (e.g., all in meters or all in feet).
  • π Value
    Use π ≈ 3.14159 for accurate calculations. Our calculator uses the precise value.
  • Area vs Perimeter
    Area is 2D space (square units), perimeter is boundary length (linear units).
Common Conversions
  • 1 m² = 10.764 ft²
  • 1 ft² = 144 in²
  • 1 acre = 43,560 ft²
  • 1 hectare = 10,000 m²

2D Geometry

Understanding area is fundamental for construction, design, and everyday problem-solving. Master these formulas to excel in mathematics and practical applications.

Shape Properties
Circle No corners - smooth curved boundary
Square 4 equal sides - 4 right angles
Triangle 3 sides - angles sum to 180°
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Area and 2D Geometry:

Pro Tip

For irregular shapes, divide them into simpler shapes (rectangles, triangles), calculate each area separately, then add them together for the total area!