Chapter 11.4, Problem 2E

To determine

To complete the given table.

Explanation of Solution

Given information :

  

Perimeter is given by $2n\cdot \sin \left(\frac{{180}^{\circ }}{n}\right)$

Area is given by $n\cdot \sin \left(\frac{{180}^{\circ }}{n}\right)\cdot \cos \left(\frac{{180}^{\circ }}{n}\right)$

Hence we get,

Number of sides	Perimeter	Area
18	6.25	3.07818
180	6.28	3.14095
1800	6.283	3.14158
18000	6.283	3.14159