The area of a circle and the area of a regular polygon of n sides with perimeter equal to that of the circle are in the ratio

JEE Main Mathematics question

Not in JEE syllabus

The area of a circle and the area of a regular polygon of sides with perimeter equal to that of the circle are in the ratio

Answer: (A)

Let the circle have radius , so its perimeter is and its area is . The polygon has the same perimeter, so each side is , and its area is

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Question ID VK-008402