Length · Unit Converter

Convert Square Inch to Arpent (Canadian)

Convert square inches to arpents instantly. 1 square inch = 1.887045e-7 arpent (canadian) — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Arpent (Canadian) to Square Inch converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Length category 2 min read Published Last reviewed Updated

Units explained

Imperial / US Customary

Square Inch

What is a 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.

Origin of the square inch

Derived by squaring the inch. The inch was standardized to exactly 25.4 mm via the 1959 International Yard and Pound Agreement.

Where it is used

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.

When and where it was developed

Inch dates to medieval English usage; modern exact value standardized in 1959.

Historical / Pre-metric European

Arpent (Canadian)

What is a arpent (canadian)?

A Canadian arpent is a historical unit of area equal to exactly 3418.89 m². Used in French-Canadian land records, especially in Quebec and Louisiana.

Origin of the arpent (canadian)

Standardized in French colonial Canada at 100 perches squared, the perche being the Canadian standard of 18 French pieds.

Where it is used

Canadian arpents appear in legal land descriptions in Quebec, where they remain officially recognized for historical seigneurial properties. Also appear in Louisiana land records from the French colonial period.

When and where it was developed

French colonial Canadian/Louisiana origin; remains in legal use in Quebec for historical properties.

Square Inch to Arpent (Canadian) conversion formula

The relationship between square inches and arpents:

1 in² = 1.887045e-7 arpent
1 arpent = 5299290.0985801974 in²

To convert square inches to arpents, multiply the value in square inches by 1.887045e-7. To reverse, multiply arpents by 5299290.0985801974.

How to use this converter

Type a value into the calculator. The result in arpents updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Arpent (Canadian) to Square Inch converter for the reverse direction.

Step-by-step: convert square inches to arpents

  1. Write down the value in square inches (in²).
  2. Multiply that value by the factor 1.887045e-7.
  3. The product is the equivalent value in arpents (arpent).
  4. To reverse, multiply the arpent (canadian) value by 5299290.0985801974.

Worked examples

Example 1 — Convert 1 in² to arpent:
1 × 1.887045e-7 = 1.887045e-7 arpent

Example 2 — Convert 100 in² to arpent:
100 × 1.887045e-7 = 1.887045e-5 arpent

Real-world example — Feature-scale to long-haul

One billion square inches equals exactly one arpent (canadian) — the conversion an optical-network engineer performs when totalling feature-level path lengths into a single long-haul fiber-link distance.

1e+9 in² × 1.887045e-7 = 188.704521058 arpent

Real-world example — Fiber-optic link lengths

Converting from microscale square inches to the arpents of a long-haul fiber link is the conversion an optical engineer performs when calculating attenuation per kilometre of fiber.

1e+9 in² × 1.887045e-7 = 188.704521058 arpent

Square Inch to Arpent (Canadian) conversion table

Standard reference values for converting square inches to arpents:

Square Inch [in²]Arpent (Canadian) [arpent]
0.011.887045e-9
0.11.887045e-8
11.887045e-7
23.77409e-7
35.661136e-7
47.548181e-7
59.435226e-7
101.887045e-6
203.77409e-6
305.661136e-6
407.548181e-6
509.435226e-6
1001.887045e-5
5009.435226e-5
10000.0001887045

Frequently asked questions

How many arpents is 1 square inch?
1 square inch equals 1.887045e-7 arpent (canadian).
How do I convert square inches to arpents?
Multiply the value in square inches by 1.887045e-7 to get arpents.
How do I convert arpents back to square inches?
Multiply the value in arpents by 5299290.0985801974, or use the Arpent (Canadian) to Square Inch converter.
How many arpents is 100 square inches?
100 square inches equals 1.887045e-5 arpents, because 100 × 1.887045e-7 = 1.887045e-5.

Convert Square Inch to other area units

Show all Square Inch conversions
Metric / SI (16 units)
Imperial / US Customary (14 units)
US Survey (5 units)
Indian Subcontinent (16 units)
Other Regional (10 units)
Scientific / Physics (5 units)
Historical / Pre-metric European (6 units)

Sources & references

Conversion factor (1 in² = 1.887045e-7 arpent) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.