Question

Now It's Time to Practice on Your Own

What is the area of a regular octagon with a side length of 6 mm and an apothem length of 7.243 mm?
Round your answer to the nearest hundredth.
URGENT

Answer 1

173.83

Explanation:

An octagon has 8 sides (octa-, right, like octopus)

"regular" means all the sides are the same length.

The apothem is given, 7.243, it goes from the center to the middle of a side, at a right angle. See image. Make a triangle. Use area formula for triangle.

A = 1/2bh

Multiply by 8, bc there are 8 of these identical triangles.

OR, use the area formula for an n-sided regular polygon:

A = 1/2asn

see image.