Question

The area of the regular octagon is 10.15 cm2.

A regular octagon has sides with lengths of 1.45 centimeters.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

Answer 1

Answer:

The measure of the apothem is 1.75 cm

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem of the regular polygon

Find the perimeter P

The perimeter of the regular octagon is equal to the length side of the octagon multiplied by 8 (the number of sides)

so

$P=1.45(8)=11.6\ cm$

Find the apothem

we have

$P=11.6\ cm$

$A=10.15\ cm^2$

substitute in the formula

$A=\frac{1}{2}Pa$

$10.15=\frac{1}{2}(11.6)a$

solve for a

$20.30=(11.6)a$

$a=20.30/(11.6)$

$a=1.75\ cm$

Answer 2

Answer:

B) 1.75 cm

~Congrats you're on the Cumulative Exam, good job!