Length · Unit Converter

Convert Square Meter to Square Femtometer

Convert square meters to square femtometers instantly. 1 square meter = 1e+30 square femtometer — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Femtometer to Square Meter 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

Metric / SI

Square Meter

What is a square meter?

A square meter is the SI base unit of area, defined as the area of a square with sides of one meter. It is the universal scientific unit for area.

Origin of the square meter

Defined by squaring the meter, which was redefined in 2019 in terms of the speed of light. The meter itself was originally proposed by the French Academy of Sciences in 1791 as 1/10,000,000 of the distance from the equator to the North Pole.

Where it is used

Square meters are the universal SI unit for area, used in real estate (most countries outside the US/UK), construction, physics, engineering, materials science, biology, and nearly all scientific contexts worldwide.

When and where it was developed

Meter adopted as SI base unit in 1960; current exact definition via speed of light dates to 2019.

Metric / SI

Square Femtometer

What is a square femtometer?

A square femtometer is a metric unit of area equal to 10⁻³⁰ m². It is used in nuclear and particle physics to describe interaction cross-sections at the nuclear scale.

Origin of the square femtometer

Derived by squaring the femtometer (10⁻¹⁵ m), historically known as the fermi after physicist Enrico Fermi.

Where it is used

Square femtometers are equivalent to 0.01 barn. They appear in particle physics literature comparing strong interaction cross-sections and hadron sizes.

When and where it was developed

Femtometer adopted into SI in 1964; the fermi nomenclature predates this from mid-20th century nuclear physics.

Square Meter to Square Femtometer conversion formula

The relationship between square meters and square femtometers:

1 m² = 1e+30 fm²
1 fm² = 1e-30 m²

To convert square meters to square femtometers, multiply the value in square meters by 1e+30. To reverse, multiply square femtometers by 1e-30.

How to use this converter

Type a value into the calculator. The result in square femtometers 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 Femtometer to Square Meter converter for the reverse direction.

Step-by-step: convert square meters to square femtometers

  1. Write down the value in square meters (m²).
  2. Multiply that value by the factor 1e+30.
  3. The product is the equivalent value in square femtometers (fm²).
  4. To reverse, multiply the square femtometer value by 1e-30.

Worked examples

Example 1 — Convert 1 m² to fm²:
1 × 1e+30 = 1e+30 fm²

Example 2 — Convert 100 m² to fm²:
100 × 1e+30 = 1e+32 fm²

Real-world example — Human-scale to atomic dimensions

One square meter equals one billion square femtometers — the canonical metric conversion bridging everyday objects and atomic-scale features in physics, chemistry, and electronics.

1 m² × 1e+30 = 1e+30 fm²

Real-world example — Meter to nanoscale

One square meter equals one billion square femtometers. Physics curricula use this conversion to teach orders of magnitude when introducing the electromagnetic spectrum.

1 m² × 1e+30 = 1e+30 fm²

Square Meter to Square Femtometer conversion table

Standard reference values for converting square meters to square femtometers:

Square Meter [m²]Square Femtometer [fm²]
0.011e+28
0.11e+29
11e+30
22e+30
33e+30
44e+30
55e+30
101e+31
202e+31
303e+31
404e+31
505e+31
1001e+32
5005e+32
10001e+33

Frequently asked questions

How many square femtometers is 1 square meter?
1 square meter equals 1e+30 square femtometer.
How do I convert square meters to square femtometers?
Multiply the value in square meters by 1e+30 to get square femtometers.
How do I convert square femtometers back to square meters?
Multiply the value in square femtometers by 1e-30, or use the Square Femtometer to Square Meter converter.
How many square femtometers is 100 square meters?
100 square meters equals 1e+32 square femtometers, because 100 × 1e+30 = 1e+32.

Convert Square Meter to other area units

Show all Square Meter conversions
Metric / SI (15 units)
Imperial / US Customary (15 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 m² = 1e+30 fm²) verified against the following authoritative sources:

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