geometry find the area of a regular heptagon , 7 sides , the length of each side is given , which is 8 and they also give a radius which is 12.5, find the area

Answer 1

formula for the area of a regular polygon is A = (1/2)nsr where n= number of sides = 7 for a heptagon, s = length of a side = 8, and r= apothem = distance from the center of the polygon to the midpoint of a side

r = s/2tan(180n) = 8/2tan180/7) = 4/tan180/7 = about 8.31

Area = (1/2)(7)(8)(8.31) = 28(8.31) = 232.56

or round it off

Area = 233

not sure what radius = 12.5 affects this or what it means

Answer 2

A = pa / 2, where p represents the perimeter and a represents the apothem.

Use Pythagoras to determine the apotiem.