SOLUTION: the area of a regular polygon is 360 square cm. If the apothem is 9 cm and one side measures 16 cm, how many sides does this polygon have?
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Question 516328: the area of a regular polygon is 360 square cm. If the apothem is 9 cm and one side measures 16 cm, how many sides does this polygon have?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
the area of a regular polygon is 360 square cm. If the apothem is 9 cm and one side measures 16 cm, how many sides does this polygon have?
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Area using side length:
Area = ns^2*cot(180/n)/4
For n = 4, Area = 256
For n = 5, Area = 440.44
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The area increases with n, so there is no integral solution.
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