SOLUTION: how do you find the number of sides in a regular n-gon with these given facts each side = 4.8 cm, apothem=7.4, and area = 177.6cm sqd

Question 578222: how do you find the number of sides in a regular n-gon with these given facts
each side = 4.8 cm, apothem=7.4, and area = 177.6cm sqd
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

The formula for the area of a regular polygon

A = ap, where a = the apothem, and p = perimeter.

There are n sides and each side is 4.8 cm so the perimeter is 4.8n,
The area is gives as 177.6 cm�, and the apothem 7.4 cm.  Substituting

    A = ap
177.6 = (7.4)(4.8n)

177.6 = 17.76n

 = n

   10 = n

There are 10 sides.

Edwin

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