Question Number 148534 by ajfour last updated on 28/Jul/21

Commented byajfour last updated on 28/Jul/21

Find φ_(avg) in terms of θ.

Commented byMJS_new last updated on 29/Jul/21

I think it′s not possible, because it′s similar to Bertrand′s Paradox (search the www)

Commented byajfour last updated on 29/Jul/21

howsoever ingenious or tedious, but there exists an answer; why the paradox(?)?

Commented byMJS_new last updated on 29/Jul/21

https://en.m.wikipedia.org/wiki/Bertrand_paradox_(probability)

Commented byMJS_new last updated on 29/Jul/21

read this

Commented bymr W last updated on 31/Jul/21

is it not the same as the question to find the average distance between two randomly selected points on a part of the surface of a sphere with unit radius?

Commented bymr W last updated on 31/Jul/21

Commented byajfour last updated on 03/Aug/21

sir, go ahead, solve this, i will try too.

Answered by ajfour last updated on 06/Aug/21

Commented byajfour last updated on 06/Aug/21

cos β=((2−(√((b−acos ψ)^2 +a^2 sin ^2 φ)))/2)