How Many Square Feet Calculators
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Area Formulas by Shape
- Rectangle: Area = length × width
- Square: Area = side²
- Triangle: Area = ½ × base × height
- Circle: Area = π × r² (r = radius)
- Trapezoid: Area = ½ × (a + b) × h (a, b = parallel sides; h = height)
- Irregular shapes: Divide into simpler shapes; sum their areas
Unit Conversions
- 1 m² = 10.764 ft²
- 1 ft² = 0.0929 m²
- 1 acre = 43,560 ft²
- 1 hectare = 10,000 m² = 107,639 ft² = 2.471 acres
- 1 yard² = 9 ft²
- 1 mile² = 27,878,400 ft² = 640 acres
Practical Applications
Flooring: measure each room separately in ft; add for total ft²; add 10% waste factor. Painting: wall area = (perimeter × height) − (doors + windows area); coverage 350–400 ft²/gallon. Lawn/garden: measure in ft; multiply to get ft²; convert to acres if needed (÷ 43,560) for fertilizer rate calculations. Real estate: living area = sum of all interior finished rooms.
Worked Examples
Room 12 ft × 14 ft = 168 ft². Circle garden r = 8 ft: π × 8² = 201 ft². L-shaped room: split into two rectangles (10×12 + 8×6) = 120 + 48 = 168 ft². Convert 168 ft² to m²: 168 × 0.0929 = 15.6 m².
Glossary
Frequently Asked Questions
Area (ft²) = length (ft) × width (ft). Measure the longest dimension and the widest dimension in feet (convert inches: divide inches by 12 to get feet; e.g., 14 ft 6 in = 14.5 ft). Multiply: 14.5 × 11 = 159.5 ft². For flooring, add 10% for cuts and waste: 159.5 × 1.10 = 175.5 ft² to purchase. For irregularly shaped rooms: divide into rectangles, calculate each, sum. For a room in the shape of an L: measure the two rectangular sections separately (e.g., 12 × 10 and 6 × 8) and add (120 + 48 = 168 ft²).
1 ft = 0.3048 m; 1 ft² = 0.3048² = 0.0929 m². To convert ft² to m²: multiply by 0.0929. To convert m² to ft²: multiply by 10.764. Examples: 500 ft² = 500 × 0.0929 = 46.5 m². 100 m² = 100 × 10.764 = 1,076 ft². Quick approximation: divide ft² by 10.8 to get approximate m² (accurate to ~0.4%). For real estate listings, Europe uses m² while the US uses ft² — knowing the conversion is essential for comparing properties.
1 acre = 43,560 ft². An acre is approximately: a football field without the end zones (100 yd × 53.3 yd = 48,000 ft² ≈ 1.1 acres); a square about 209 ft × 209 ft; roughly 2/3 of a city block. To convert acres to square feet: multiply by 43,560. To convert ft² to acres: divide by 43,560. Example: 2.5 acres = 2.5 × 43,560 = 108,900 ft². A 10,000 ft² lot = 10,000/43,560 = 0.23 acres. For fertilizer or herbicide applications: convert ft² to acres before looking up rates (most agricultural rates are per acre).
Circle: Area = π × r² = π × (diameter/2)² ≈ 3.1416 × r². Example: circular garden, 16 ft diameter (r = 8): area = π × 64 = 201 ft². For a semicircle: area = π × r²/2. For triangles: area = 0.5 × base × height (use the perpendicular height, not a slanted side). For complex irregular shapes: use the grid method — draw the area on graph paper scaled to ft; count full squares (= 1 ft² each) and partial squares (estimate); sum for total. Or use a GPS/surveying app for large outdoor areas.