The five circles making up this archery target have diameters of length $2,4,6,8,$ and $10$. What is the total red area?


Simplify your answer as much as you can. You can use pi in your answer if necessary (for example, if the answer were $3\pi$, you could enter "3pi" or "3*pi" or "$3\pi$").

[asy]

size(4cm);

path a=Circle((0,0),5);

path b=Circle((0,0),4);

path c=Circle((0,0),3);

path d=Circle((0,0),2);

path e=Circle((0,0),1);

fill(a,red); fill(b,white); fill(c,red); fill(d,white); fill(e,red);

[/asy]
This is from Artofproblemsolving.com and yes my age here is not my real age i just chose a random year