SOLUTION: Find the area of the regular polygons. Give the answer to the nearest tenth. Pentagon with side 10cm. The area of a regular hexagon is 36in squared. Find the length of a si

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Question 429042: Find the area of the regular polygons. Give the answer to the nearest tenth. Pentagon with side 10cm.


The area of a regular hexagon is 36in squared. Find the length of a side. ROUnd your answer to the nearest tenth.

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
Solution:The central angle of pentagon is 360/5=72 degrees.The area of pentagon is given by the formula:
, where p=50 inches, is the perimeter of pentagon and a is the
line segment perpendicular from center to the base: , and area:

A=39.4 square inches.
Done.

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