Steradian - Analogue To Radians

Analogue To Radians

In two dimensions, the angle in radians is related to the arc length it cuts out:

where
l is arc length, and
r is the radius of the circle.

Now in three dimensions, the solid angle in steradians is related to the area it cuts out:

where
S is the surface area, and
r is the radius of the sphere.

Read more about this topic:  Steradian

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