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5 votes
5 votes
Find the area of a regular

polygon with 8 sides that has a

the side length of 4 inches and an

apothem of 5 inches.


Area = [?]in2

Find the area of a regular polygon with 8 sides that has a the side length of 4 inches-example-1
User Tom Groentjes
by
2.6k points

1 Answer

22 votes
22 votes

Answer:

80 in²

Explanation:

When side length and apothem of a regular polygon are given, the applicable area formula is ...

A = 1/2Pa

where P is the perimeter of the polygon, and 'a' is its apothem.

__

The perimeter of a regular 8-sided polygon will be 8 times the side length, so the area is ...

A = 1/2(8×4 in)(5 in) = 80 in²

User Cmill
by
2.7k points