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What is the area of a regular decagon whose side is 1.2 and whose apothem is 1.85?
Wiki User
∙ 14y ago
Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have:
A = (1/2)(a)(P)
Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2).
Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula:
A = (1/2)(a)(P)
A = (1/2)(1.85)(12)
A = 11.1
Thus, the area of the decagon is 11.1.
Wiki User
∙ 14y ago
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A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of what?
An apothem of a regular polygon is a segment from its center to the midpoint of a side. You can use the apothem to find the area of a regular polygon using this formula: A = pa/2 where p is the perimeter of the figure and a is the apothem. For a regular octagon with side length 11, the perimeter p = 8(11) = 88. So the area would be A = 88(8.85)/2 = 389.4 square units.
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