SOLUTION: Can you take me through the step to solving this problem. Problem- Find the area of a regular 11-gon with side 7cm.

Algebra ->  Polygons -> SOLUTION: Can you take me through the step to solving this problem. Problem- Find the area of a regular 11-gon with side 7cm.      Log On


   

Question 457443: Can you take me through the step to solving this problem.
Problem- Find the area of a regular 11-gon with side 7cm.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if two adjacent vertices are joined to the center, angle subtended would be equal to %28360%2F11%29+deg
since both sides are equal, triangle is isosceles.
measure of each angle is %28180-%28360%2F11%29%29%2F2
%28180-32.73%29%2F2=73.64
area of triangle is 0.5%287cm%29%283.5%29%2Atan%2873.64%29=3.5%2A3.5%2A3.4cm%5E2=41.65cm%5E2
area of a regular 11-gon is: A=11%2841.65%29cm%5E2=458.15cm%5E2