About

Area conversion is critical in fields ranging from agriculture to nanotechnology. While length conversion is linear, area conversion is quadratic, meaning errors compound significantly. For example, a mistake in converting ft² to m² can lead to massive discrepancies in material estimation or land valuation.

This tool provides rigorous conversion factors for standard units (acres, hectares) and specialized units (barns, townships). It utilizes floating-point corrections to minimize rounding errors common in browser-based logic.

Formulas

The conversion logic maps any input unit u_in to a base unit (Square Meters), then to the target unit u_out.

A_m² = A_in × k_in

A_out = A_m²k_out

Where k is the conversion factor relative to 1 m².

Reference Data

Unit	Symbol	Value in Square Meters (m²)
Square Meter	m²	1
Hectare	ha	10,000
Square Kilometer	km²	1,000,000
Square Foot	ft²	0.09290304
Acre	ac	4,046.8564224
Square Mile	mi²	2,589,988.11
Square Inch	in²	0.00064516
Barn	b	1 × 10^-28

Frequently Asked Questions

An acre is an Imperial unit (~4047 m²), widely used in the US and UK. A hectare is a Metric unit (10,000 m²), used globally for land measurement. One hectare is approximately 2.47 acres.

The Barn is a very small unit of area used in nuclear physics to express the cross-sectional area of nuclei. It is included for scientific completeness.

It uses standard IEEE 754 floating-point arithmetic. Factors are defined up to 10 decimal places where applicable (e.g., exact definition of the foot).

No. Square degrees measure solid angles on a sphere, not planar area. This tool is strictly for 2D planar surfaces.