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## Main Question or Discussion Point

I read in a paper the following passage:

"We take the sun to subtend a linear angle of 32 arc-minutes. The solid angle is derived as [tex]\Omega=\pi sin^{2}16'=6.8x10^{-5} sr[/tex]"

I don't understand how the formula to go from linear angle to solid angle is just found by taking the area treating sin(16') as a radius. Can someone explain?

"We take the sun to subtend a linear angle of 32 arc-minutes. The solid angle is derived as [tex]\Omega=\pi sin^{2}16'=6.8x10^{-5} sr[/tex]"

I don't understand how the formula to go from linear angle to solid angle is just found by taking the area treating sin(16') as a radius. Can someone explain?