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Offline Centres

A ten – sided regular polygon is inscribed in a circle $| z | = 1. A_{10}, A_{1}, A_{2}, ...., A_{9}$ be its vertices in anticlockwise direction with $A_{10} = 1, G_{1}$ is centroid of $Δ A_{1} A_{4} A_{8}, G_{2}$ be centroid of $Δ A_{2} A_{6} A_{9} a n d G_{3}$ be centroid of $Δ A_{3} A_{5} A_{7}$ . P is centroid of $Δ G_{1} G_{2} G_{3}$ . If ‘O’ is the centre of circle

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