What is the area of a octagon with a side length of 12cm. This octagon also has an apothem of 14.49cm.

Guest Apr 17, 2023

#1**+2 **

First, we should find out the formula for the area of an octagon (if you already know this Guest, just scroll down).

This is the formula:

\(A=2(1+\sqrt2)a ^2\)

(where a is the length of a side)

Since we know that the length is 12, we can easily replace the a for 12.

\(A=2(1+\sqrt2)12 ^2\)

If you are lazy like me, you will dutifully plug it into a calculator and achieve the approximate result of

\(695.29 \) \(cm ^2\)

The value rounded to five decimal places is

\(695.29351\) \(cm ^2\)

Hope this helped!

BlackjackEd Apr 17, 2023