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The ratio of the areas of a circle and a...

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) `pi\ :sqrt(2)` (b) `pi\ :sqrt(3)` (c) `sqrt(3)\ :pi` (d) `sqrt(2)\ :pi`

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Prove that the ratio of the area of a circle and the equilateral triangle whose side is equal to the diameter of the circle is pi:sqrt3

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