// multi-utility computation suite · offline · instant · precise
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│ [c] calcalyst_ │
│ computation suite │
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math.solid-angle Calculator
Calculates the solid angle subtended by a cone or rectangular aperture in steradians. A hemisphere subtends 2π steradians; the full sphere 4π sr — solid angle determines how much of a light source's output is captured by a detector.
Inputs
Half Angle Deg
Reference formula or conversion factor shown for context.
Area M2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Distance M
Separation between two points or total path length. Check that units are consistent throughout the calculation.
Results
solid angle (cone, sr)
The computed angle in degrees or radians.
solid angle (area/dist², sr)
The computed angle in degrees or radians.
fraction of sphere
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).
full sphere solid angle
The computed angle in degrees or radians.
Ω_cone = 2π(1-cosθ)
Sample size or count used in the calculation.
steradian applications
Recommended use case or application for this configuration or result.