Solid Angle Unit Converter
Convert solid angle between steradians, square degrees, square arcminutes and full-sphere units.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Convert squared angular units to steradians while preserving a known solid angle.
1 square degree = (π/180)² sr; full sphere = 4π sr
Worked example
1 sr is approximately 3282.80635 square degrees. A full sphere is 4π sr.
Assumptions and input details
A square degree is a solid-angle unit, not an ordinary degree or an instruction to square an angular radius. A cone half-angle needs a separate geometry formula. Values represent an entered solid-angle measure; no beam profile, finite cone, angular footprint or field-of-view geometry is inferred.
References: BIPM: SI quantities and prefixes
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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