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A regular pentagon has an apothem of 3.2 and an area of 37.2 m. What is the length of one side of the pentagon
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Sep 15, 2018
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A regular pentagon has an apothem of 3.2 and an area of 37.2 m. What
is the length of one side of the pentagon
Mathematics
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Rurp
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Answer:
4.65m
Explanation:
Jasongonzales
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Sep 18, 2018
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Jasongonzales
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The area of any regular polygon can be expressed as:
(ns^2)/(4tan(180/n)) where n is number of sides and s is a side length (no apothem needed :D)
37.2=5s^2/(4tan36)
s^2=(148.8tan36)/5
s≈4.65m
Santeri Sarle
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Sep 19, 2018
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Santeri Sarle
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