Question

what is the dimension of solid angle

Answer 1

Solid angle is a dimensionless quantity.

Why?

Solid angle is defined as,

R^2 * ∆(s.a.) = ∆(area subtended)

So, ∆(s.a.) = ∆(area subtended)/R^2

Which means, ∆(s.a.) has a dimesnion of L^2/L^2, which equals L^0

Hence, it is dimensionless

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