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 inch

Question

snow_lady [41]

2 years ago

11

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 inch

es. What is the area of the stop sign?

Mathematics

2 answers:

saul85 [17] · Answer 1 · 2022-04-03T11:00:14+03:00

saul85 [17]2 years ago

7 0

744 square inches octagon area

Nikolay [14] · Answer 2 · 2022-04-03T09:54:32+03:00

Nikolay [14]2 years ago

6 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.