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圆周率是一个重要的数学常数,他在数学史上具有重要的地位,通过求解圆内接正多边形的周长和面积,可以推导出圆周率π的两个近似计算的公式.问题:已知一个圆的半径为R,(1)求这个圆的内接正n边形的周长和面积;(2)利用(1)的结果填写下表:
Pi is an important mathematical constant, and he has an important position in the history of mathematics. By solving the circumference and area of a regular polygon connected in a circle, we can deduce two approximate formulas for calculating the pi. Problem: A circle (1) Find the circumference and area of the inscribed regular n-polygon of this circle; (2) Fill the following table with the result of (1):