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

$$ A $$ Unit $$ \mathrm{m}^2 $$

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

Radius

$$ r $$ Unit $$ \mathrm{m} $$

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 \( A \).

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