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Comprehension.
A regular heptagon (seven sides)
is inscribed in a circle of radius 1 . Let \( A_{1} A_{2} \ldots A_{7} \) be its vertices,
\( G_{1} \) is centroid of \( \triangle A_{1} A_{2} A_{5} \) and \( G_{2} \) be centroid of \( \triangle A_{3} A_{6} A_{7} . P \) is centroid of \( \triangle O G_{1} G_{2} \), where \( O \) is centre of circum suribing circle.
\( O P \) is equal to
(a) \( \frac{10}{9} \)
(b) \( \frac{8}{9} \)
(c) \( \frac{1}{9} \)
(d) 1
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