Size of heptagon

Question

what is diameter and area of heptagon with sides 7 feet long?

Answer 1

a 7 sided polygon with each side = 7 feet

what is the area?

what is the diameter?

area has to be less than 21x21 = 441

diameter has to be less than 3x7= 21

substantially less.

general formula for area of a heptagon is

A=(7/4)a^2cot(180/7)

= (7/4)49cot(25 5/7)

= (343/4)cot(25 5/7)

= approximately 178.0617098

= about 178 ft^2

long diagonal= 15.729

short diagonal= 12.614

height = 15.335

circumcircle radius= 8.067, 2r = diameter = 16.134

incircle radius= 7,268, 2r = diameter = 14.336

so pick your favorite "diameter" you have 5 choices. one for all,

or take their average if you can't choose. some people just can't decide