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18 April, 17:51

A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inches. What is the area of the stop sign?

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  1. 18 April, 18:00
    0
    744 square inches octagon area
  2. 18 April, 18:02
    0
    The 8 sides of the regular octagon are all the same length, so the perimeter of it is 8 * (12.4 in) = 99.2 in.

    The area of a regular polygon is half the product of the perimeter and the apothem.

    area = (1/2) (99.2 in) (15 in) = 744 in²

    The area of the stop sign is 744 in².
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