Convert square feet, acres, hectares, square meters, and more — instantly. Free with steps.
Floor plans in square feet, farmland in acres, science papers in square meters, carpet in square yards — area is measured in a dozen units and every project crosses between them. Our free Area Converter translates among nine area units (square inches through square miles, plus acres and hectares), routing every conversion through square meters so the factors stay exact and auditable.
Area conversions hide a classic trap: the factors are squared. One foot is 30.48 cm, but one square foot is 929 cm² — the linear factor squared. Converting 500 ft² with the linear 30.48 instead of 929.03 understates the area thirtyfold. The converter squares every factor internally, so you never have to remember which power applies.
Keep this page open next to any takeoff, listing, or lab report. The examples below cover the conversions people actually perform — acres to lots, square feet to carpet yards, metric to imperial — and the FAQ resolves the squared-factor confusions that cause most errors.
An area unit is always a length unit squared: ft², m², in². The imperial chain runs 144 in² = 1 ft², 9 ft² = 1 yd², 4,840 yd² = 1 acre, 640 acres = 1 mi². The metric chain is decimal: 10,000 cm² = 1 m², 10,000 m² = 1 hectare, 100 ha = 1 km².
The two systems’ anchor units — acre and hectare — are land-commerce units, not geometric ones. An acre (43,560 ft²) descends from the plow-day; a hectare (10,000 m²) was designed for the job. They coexist because land markets are local while science is global, and every international land deal converts between them (1 ha = 2.47105 ac).
The conversion principle is one line: area factor = (length factor)². Feet to meters is 0.3048; square feet to square meters is 0.3048² = 0.09290304. The converter stores exact SI definitions (the foot is defined as exactly 0.3048 m), squares them, and chains through m² — exact by construction, not by memorized tables.
Key terms:
Because the international foot is defined as exactly 0.3048 m, the square-foot factor 0.09290304 is exact — not rounded. Precision survives any chain of conversions.
A room is 360 ft². Carpet is priced per square yard. How many yards?
Equivalently, 360 ÷ 9 = 40 — the shortcut works because a square yard is exactly 9 ft². Add 10% waste before ordering: 44 yd².
A 120-acre farm is listed on an international exchange. Express in hectares.
The direct factor (acres × 0.404686) gives the same answer — the converter just shows the SI intermediate for verifiability.
A developer’s parcel is listed as 3.5 acres, the architect draws in square feet, and the landscape plan quotes sod per square meter. Conversions: 3.5 ac = 152,460 ft² = 14,164 m². The 40,000 ft² building footprint leaves 112,460 ft² of site; parking at 350 ft² per stall consumes 70 stalls × 350 = 24,500 ft²; landscaping gets the remaining 87,960 ft² = 8,172 m² of sod at $2.10/m² = $17,161. One converter, three unit systems, one coherent budget.
The trap in that chain is rounding early: 3.5 acres as “152,000 ft²” loses 460 ft² — more than a parking stall. The converter’s full-precision intermediate keeps every downstream number honest, which is why the base-step display exists.
A second scenario: a laboratory reports contamination over 2,500 cm² and the remediation quote prices per ft². 2,500 cm² = 0.25 m² = 2.69 ft² — a desktop-sized area, not a room-sized one. The order-of-magnitude sanity check (cm² are tiny) prevents a $10,000 quote for a $200 problem.
A third scenario: solar panels. A homeowner’s roof offers 800 ft² of south-facing area; each panel is 17.6 ft² (1.63 m²). 800 ÷ 17.6 = 45 panels maximum — but fire codes require 3-foot setbacks from ridges and eaves, carving the usable rectangle down to ~620 ft² = 35 panels. At 400 W each, that is a 14 kW system. The area conversion (ft² to panel count) plus the code deduction is the entire feasibility study.
Reference areas also calibrate land listings: a “half-acre” lot is 21,780 ft² — about twelve tennis courts — while a “5-acre” parcel is 217,800 ft², or nearly four football fields. Agents who translate acreage into familiar images close deals faster than those who recite raw numbers.
The acre’s survival is a case study in path dependence: defined by oxen, standardized by chains, and now embedded in millions of deeds, it persists because converting the entire US land registry to hectares would cost more than the confusion it causes. Every real-estate transaction pays a small “acre tax” in conversion effort — and converters like this one collect it.
Carpet’s square yard shows the opposite: an industry unit optimized for its product. Broadloom comes 12 feet wide; pricing per square yard (9 ft²) makes a 12 × 9 ft room exactly 12 yards — the width times the length in yards. The unit fits the goods the way the acre never fit the plow.
Scientists fled both for the hectare and m², and the SI’s coherence pays off in derived units: a hectare-meter of water is 10,000 m³, pressure in pascals is newtons per m², and everything multiplies without constants. The converter’s m² base is not arbitrary — it is the unit the rest of physics already speaks.
Digital mapping added the pixel-acre: satellite imagery resolves ~30 m (Landsat) to 0.3 m (commercial) per pixel, and land-cover statistics sum pixels into hectares. A deforestation report’s “12,000 hectares lost” began as pixel counts times pixel area — area conversion as environmental accounting.
The frontier is vertical area: green-building standards now track façade square footage for energy modeling, and drone surveys measure roof areas in m² from orthophotos. The units are ancient; the measurement keeps getting better.
Everyday estimation leans on reference areas people can picture: a parking space (~150 ft²), a tennis court (2,808 ft²), a football field (~57,600 ft² including end zones), a hectare (about 2.5 acres, or two soccer fields). Professionals convert an abstract number into one of these mental images before deciding — “that’s three football fields” carries more meaning than “172,800 ft².” The converter gives the number; the reference gives the understanding.
Area conversions via m²: ft²=0.09290304, in²=0.00064516, yd²=0.83612736, acre=4046.8564224, ha=10000, mi²=2589988.110336 m². Rule: area factor = (length factor)². 1 acre=43,560 ft²; 1 ha=2.47105 ac. Source: Sigma Calculator, Area Converter, https://sigmacalculator.net/math-calculators/area-converter/
Cite this page as: Area Converter, Sigma Calculator, https://sigmacalculator.net/math-calculators/area-converter/
Last updated: October 12, 2026