Radiation panopticon

Geometry Level 4

Twenty identical spheres (with equal radius) are arranged, touching one another consecutively, in a complete circular fashion. Now, a uniform point-source (say 'P')of radiation is located at the centre 'O' of the regular polygonal-plane obtained by joining the centres of all the spheres. What will be fraction of the total radiation intercepted by all the spheres?

Note: Above figure shows circular arrangement of 'n' identical spheres. This picture has been given only for clarification.

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