Convert Section to Square Inch
Convert sections to square inches instantly. 1 section = 4.01449e+9 square inch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Inch to Section converter for the reverse conversion.
Units explained
Section
A section is a unit of area used in the US Public Land Survey System, equal to 1 square mile (640 acres or approximately 2.59 km²).
Defined by the Land Ordinance of 1785 as 1/36 of a township. Sections are numbered 1-36 within each township.
Sections are the fundamental unit of US public land records in PLSS states (essentially the central and western US). Property descriptions like 'NE quarter of section 14, township 3 north, range 2 east' use this system.
Defined by the US Land Ordinance of 1785.
Square Inch
A square inch is an imperial unit of area equal to exactly 0.00064516 m², the area of a square with sides of one inch. It is widely used in the United States for small-area measurements.
Derived by squaring the inch. The inch was standardized to exactly 25.4 mm via the 1959 International Yard and Pound Agreement.
Square inches are used extensively in US engineering, manufacturing, real estate (for floor plans), and everyday small-area measurements. Engine displacement is often expressed in cubic inches but cross-sections in square inches.
Inch dates to medieval English usage; modern exact value standardized in 1959.
Section to Square Inch conversion formula
The relationship between sections and square inches:
To convert sections to square inches, multiply the value in sections by 4.01449e+9. To reverse, multiply square inches by 2.490977e-10.
How to use this converter
Type a value into the calculator. The result in square inches updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Square Inch to Section converter for the reverse direction.
Step-by-step: convert sections to square inches
- Write down the value in sections (sec).
- Multiply that value by the factor 4.01449e+9.
- The product is the equivalent value in square inches (in²).
- To reverse, multiply the square inch value by 2.490977e-10.
Worked examples
Example 1 — Convert 1 sec to in²:
1 × 4.01449e+9 = 4.01449e+9 in²
Example 2 — Convert 100 sec to in²:
100 × 4.01449e+9 = 4.01449e+11 in²
Section to Square Inch conversion table
Standard reference values for converting sections to square inches:
| Section [sec] | Square Inch [in²] |
|---|---|
| 0.01 | 4.01449e+7 |
| 0.1 | 4.01449e+8 |
| 1 | 4.01449e+9 |
| 2 | 8.028979e+9 |
| 3 | 1.204347e+10 |
| 4 | 1.605796e+10 |
| 5 | 2.007245e+10 |
| 10 | 4.01449e+10 |
| 20 | 8.028979e+10 |
| 30 | 1.204347e+11 |
| 40 | 1.605796e+11 |
| 50 | 2.007245e+11 |
| 100 | 4.01449e+11 |
| 500 | 2.007245e+12 |
| 1000 | 4.01449e+12 |
Frequently asked questions
How many square inches is 1 section?
How do I convert sections to square inches?
How do I convert square inches back to sections?
How many square inches is 100 sections?
Popular area unit conversions
Convert Section to other area units
Show all Section conversions
Metric / SI (5 units)
Imperial / US Customary (3 units)
Sources & references
Conversion factor (1 sec = 4.01449e+9 in²) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.