Circle And System Of Circles Question 206

Question: The limit of the perimeter of the regular n-gons inscribed in a circle of radius R as $ n\to \infty $ is

[MP PET 2003]

Options:

A) $ 2,\pi ,R $

B) $ \pi ,R $

C) $ 4R $

D) $ \pi ,R^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

As $ n\to \infty , $ polygon becomes a circle and perimeter of circle $ =2\pi R. $