Let a regular polygon be inscribed in a sphere such that its circumcentre is at a distance r from the centre of the sphere of radius R.
A point source of light is kept at the centre of the sphere. How can we
calculate the area of the shadow made on the surface of the sphere.
I tried to use the relation: <span>Ω=<span>S<span>R2</span></span></span>
But of course that is the case when a circle would be inscribed. So can I somehow relate it for any general polygon?
