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

Algebra ->  Polygons -> 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      Log On


   

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) About Me  (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:
A=%281%2F2%29%2A%28p%2Aa%29, where p=50 inches, is the perimeter of pentagon and a is the
line segment perpendicular from center to the base: a=5%2Ftan%2836%29, and area:
A=%28%281%2F2%29%2A50%29%2F%28tan%2836%29%29
A=39.4 square inches.
Done.