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17 June, 05:25

What is the area of a regular octagon with a apothem of 16 inches long and a side of 19 in Long round the answers to the nearest tenth?

A 144in2

B 216in2

C 1215in2

D 2432in2

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Answers (1)
  1. 17 June, 08:01
    0
    To find the area of any regular (regular means all sides are = and all angles are = ) poylgon when you know the length of the apothem and the length of the side you can use the formula:

    A = (1/2) ap where a = the length of the apothem and p = the perimeter of the polygon. You can also use n*s in place of p where n = the number of sides of the polygon and s = the length of the side.

    A = (1/2) (16) (19*8) (An octagon has 8 sides.)

    A = 1216 in^2
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