Solid angle/cone

  • Thread starter azerty12
  • Start date
  • #1
15
0
Hi everyone

I'd like to compute the solide angle defined by a cone whose angle θ is known.
I tried with the definition but I probably mistook since it lead me to compute an integral worth...0.
I then tried with a rule of three, but the result I get is clearly wrong too.

Could you explain me how to proceed?
 

Answers and Replies

  • #2
7
0
Try this:
[itex]\int_0^{2\pi}\,\int_0^\theta\,sin\theta\,\mathrm{d}\theta\,\mathrm{d}\phi[/itex]

for a cone with apex angle 2theta

via wikipedia
 
  • #3
15
0
Thank you emgram769: In fact that's almost what I tried to do but I took the second integral with -theta instead of 0 (and we should take 0 because phi is integrated over 2Pi)
 

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