SOLUTION: Central angle of a polygon=10 degrees Perimeter= 108 cm What is the area

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Question 1075851: Central angle of a polygon=10 degrees
Perimeter= 108 cm
What is the area
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Central angle of a polygon=10 degrees
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--> 360/10 = 36 sides.
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Perimeter= 108 cm
108/36 = 3 = side length.
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What is the area
Area = where n + # of sides, s = side length
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Just calculator work now.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
I will assume that the polygon is a REGULAR polygon. 

The number of sides is  = 36.


The side length is  = 3 cm.


The apothem "a" is   =  = tan(5°),  or  a = .


Then the area =  =  = 54*tan(5°) .


I leave it to you to calculate the number.


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