Answer:
[tex]a = 12.43[/tex]
Step-by-step explanation:
Given
[tex]A = 15[/tex] --- the Apothem
[tex]n =8[/tex] ---- number of sides
Required
The length of each side (a)
The relationship between A and a is:
[tex]a = A * 2\tan(\frac{180}{n})[/tex]
This gives:
[tex]a = 15 * 2\tan(\frac{180}{8})[/tex]
[tex]a = 15 * 2\tan(22.5)[/tex]
[tex]a = 15 * 2 * 0.4142[/tex]
[tex]a = 12.426[/tex]
[tex]a = 12.43[/tex] --- approximated
