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in Trigonometry by (53.1k points)

The ratio of the area of the regular polygon of n sides circumscribed about a circle to the area of the regular polygon of equal number of sides inscribed in the circle is 4:3. Find the value of n.

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Area of circle inscribed about a regular polygon of n sides is

Area of circle inscribed about the same regular polygon is

As n is a natural number, therefore n = 6.

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