Circumscribed circle - inscribed circle area formula

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 7K views
guss
Messages
246
Reaction score
0
I'm looking for a formula that subtracts the area of an inscribed circle of a shape from the circumscribed area of the shape. I've confused myself on this one and can't seem to figure it out.

The shape is a regular polygon (all sides and angles are equal). What should be given to "plug in" is each side is of length L and there are s sides.

Can anyone help me? Thanks!
 
Mathematics news on Phys.org
Got it![tex]\frac{L^{2} \pi\ }{4}[/tex]

Where [tex]L[/tex] is the length of each side. Works for any regular polygon.Sorry, you can close this thread if you please.