What is the area of a octagon with a side length of 12cm. This octagon also has an apothem of 14.49cm.
+144 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!
