A regular polygon is inscribed in a circle. How many sides does the polygon have?

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A regular polygon is inscribed in a circle. How many sides does the polygon have?

(1) The length of the diagonal of the polygon is equal to the length of the diameter of the circle.
(2) The ratio of area of the polygon to the area of the circle is less than 2:3.


OA C

Source: Veritas Prep