Convert Square Arcminute to Nanosteradian

Type the number of square arcminutes that you wish to convert to nanosteradians.

1 arcmin² (square arcminutes) = 84.6159 nsr (nanosteradians)

How to Convert Square Arcminutes to Nanosteradians

The square arcminute and nanosteradian are both units of solid angle. 1 square arcminute equals 84.6159 nanosteradians. This means to convert square arcminutes to nanosteradians, you multiply by 84.6159.

Formula

nanosteradians = square arcminutes × 84.6159

Step-by-Step Example

Convert 5 arcmin² to nanosteradians:

1
Convert 5 arcmin² to nanosteradians

We need to convert square arcminutes to nanosteradians

2
Apply the formula

Since 1 arcmin² = 84.6159 nsr, multiply by 84.6159

5 × 84.6159 = 423.0795

Answer

5 arcmin² = 423.0795 nsr

Square Arcminute to Nanosteradian Conversion Table

Quick reference table for common square arcminute to nanosteradian conversions. Click any value for detailed calculation.

Square Arcminutes (arcmin²) Nanosteradians (nsr)
1 arcmin² 84.6159 nsr
2 arcmin² 169.2318 nsr
5 arcmin² 423.0795 nsr
10 arcmin² 846.159 nsr
15 arcmin² 1269.2385 nsr
20 arcmin² 1692.318 nsr
25 arcmin² 2115.3975 nsr
50 arcmin² 4230.795 nsr
100 arcmin² 8461.59 nsr

About These Units

Square Arcminute (arcmin²)

A square arcminute equals (1/60)² of a square degree or about 8.46×10⁻⁸ steradians. One square degree = 3,600 square arcminutes. Used for small astronomical fields: nebula sizes, galaxy images, and detector pixel scales. Full Moon ≈ 720 arcmin².

Nanosteradian (nsr)

A nanosteradian (nsr) equals 10⁻⁹ steradians or about 42.5 square arcseconds. Used in precision optical measurements, astronomical source size calculations, and high-resolution imaging system specifications. Individual pixels in space telescopes may subtend nanosteradians.

Frequently Asked Questions

How do I convert square arcminutes to nanosteradians?

To convert square arcminutes to nanosteradians, multiply the value by 84.6159. For example, 10 arcmin² = 846.159 nsr.

How many nanosteradians are in 1 square arcminute?

1 square arcminute equals 84.6159 nanosteradians.

What is the formula for square arcminutes to nanosteradians?

The formula is: nsr = arcmin² × 84.6159.