Area Calculator

Calculate the exact area of any 2D geometric shape including rectangles, triangles, circles, trapezoids, ellipses, rhombuses, and sectors with step-by-step formulas.

Geometry Parameters

ft
ft
Total Area (Rectangle)
50ft²

Area = Length × Width

Calculated FormulaA = l × w

Square Meters

4.6452 m²

Square Inches

7,200 in²

Acres

0.00115

Geometric Area Reference

RectangleA = l × w
SquareA = s²
CircleA = π × r²
TriangleA = ½ × b × h
TrapezoidA = ½ × (a + b) × h
EllipseA = π × a × b
ParallelogramA = b × h
RhombusA = ½ × d₁ × d₂
SectorA = (θ/360) × π × r²
Standard Geometric Area Formulas
Rectangle / SquareA = length × width
TriangleA = ½ × base × height
Circle / EllipseA = π × r²
Step-by-Step Calculation Breakdown
Example 1: Triangle (Base = 12 ft, Height = 7 ft)
Area=½ × 12 ft × 7 ft=6 ft × 7 ft=42.00 sq ft
Example 2: Trapezoid (Base 1 = 8 m, Base 2 = 14 m, Height = 6 m)
Area=½ × (8 + 14) × 6=½ × 22 × 6=66.00 m²

Practical Applications of Area

  • Home Improvement: Calculate paint, flooring, wallpaper, tile, or drywall materials needed.
  • Landscaping: Determine mulch, turf sod, topsoil, or seed quantities for lawns and garden beds.
  • Real Estate: Quantify parcel land boundaries, usable floor space, and zoning setbacks.
  • Construction: Estimate concrete slab coverage, roof sheeting, and insulation panels.

Frequently Asked Questions

What is area and how is it measured?
Area is the amount of two-dimensional surface enclosed inside a shape's perimeter boundary. It is always expressed in squared units—such as square feet (sq ft), square meters (m²), square inches (in²), or acres.
How do I calculate the area of an irregular shape?
For irregular shapes, partition the geometry into known sub-shapes (rectangles, triangles, half-circles), compute each sub-area independently, and sum them together.
What is the difference between area and perimeter?
Area measures the 2D surface space inside the boundary (square units), whereas perimeter measures the total linear distance around the outside edge (linear units).
Why is π (pi) used in circular area formulas?
Pi (π ≈ 3.14159) represents the universal ratio of a circle's circumference to its diameter. An infinitely dissected circle rearranges into a rectangle of height r and base πr, yielding the exact area A = πr².

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