SOLUTION: I have figured out the following: What size is the interior angle of a regular 15-sided polygon? n-2 (180) 15-2 (180) 13 (180) 13(180) 2340 degrees Now, if one side ha

Algebra ->  Polygons -> SOLUTION: I have figured out the following: What size is the interior angle of a regular 15-sided polygon? n-2 (180) 15-2 (180) 13 (180) 13(180) 2340 degrees Now, if one side ha      Log On


   

Question 971270: I have figured out the following:
What size is the interior angle of a regular 15-sided polygon?
n-2 (180)
15-2 (180)
13 (180)
13(180)
2340 degrees
Now, if one side has a length of 5 feet what is the perimeter?
Can you help?
Thanks,
George
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Since all the angles are equal, each direction-change is 360%2Fn, and that means that each interior angle is 180º minus this amount, or
180+-+360%2Fn+
for n=15 we will have:
180+-360%2F15+=+180+-24+=+156º
then, the sum of all internal angles is:
+15%2A180+-+360=2340
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if one side has a length of 5ft,and we have 15 sides, then the perimeter is 15%2A5ft=75ft