SOLUTION: The perimeter of a regular polygon is 48 and its apothem is 6.What is the area of the polygon?

Question 745052: The perimeter of a regular polygon is 48 and its apothem is 6.What is the area of the polygon?
Answer by savvyhush23(50) (Show Source): You can put this solution on YOUR website!
I hope you know what is the apothem of a regular polygon. If not just google it.
Ok, let us inscribed a circle in a regular polygon so that its radius is equal to the apothem.
The formula of Regular polygon Circumscribing a circle are:
and
In the perimeter formula, see that , substitute it to the Area:
where r = 6
Therefore, Area = 144 sq. unit.
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