# Differentiating a formula for area of polygons

• August 18th 2009, 06:16 AM
Delos
Differentiating a formula for area of polygons
Hi guys :)

Could someone please tell me how to differentiating this particular formula with step by step directions?

$A=(22500/n)/tan(Pi/n))$

Thanks in advance. As soon as possible if you can :)
• August 18th 2009, 09:09 AM
songoku
Hi Delos

$A=\frac{\frac{22500}{n}}{\tan (\frac{\pi}{4})}$

$A=\frac{22500}{n\; \tan (\frac{\pi}{4})}$

Can you differentiate $n\; \tan (\frac{\pi}{4})$ ? :)
• August 18th 2009, 09:21 PM
CaptainBlack
Quote:

Originally Posted by Delos
Hi guys :)

Could someone please tell me how to differentiating this particular formula with step by step directions?

$A=(22500/n)/\tan(\pi/n))$

Thanks in advance. As soon as possible if you can :)

You can't differentiate a function of a discrete variable (number of sides).

CB
• August 18th 2009, 09:23 PM
CaptainBlack
Quote:

Originally Posted by songoku
Hi Delos

$A=\frac{\frac{22500}{n}}{\tan (\frac{\pi}{4})}$

$A=\frac{22500}{n\; \tan (\frac{\pi}{4})}$

Can you differentiate $n\; \tan (\frac{\pi}{4})$ ? :)

That is not the area formula.

CB
• August 19th 2009, 04:48 AM
songoku
Hi CaptainBlack

Sorry for not realizing it and thx for correcting my mistake :)