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Formula Solid Angle Definition Area    Radius

Formula
Formula: Solid Angle Definition
Solid Angle - Angle in 3 Dimensions

Solid angle

Unit
Solid angle is the angle in three dimensions. It describes how large an object appears to an observer standing exactly in the center of an imaginary sphere. The solid angle of the whole unit sphere corresponds exactly to \( \Omega = 4 \pi \), because of the area formula: \( A = 4 \pi \, r^2 \).

Area

Unit
Area of a considered section of the sphere belonging to the solid angle \(\Omega\).

Radius

Unit
Radius of the sphere. In the case of a unit sphere (\(r=1\,\text{m}\)) the value of the solid angle is equal to the considered area \( A \).