10451 - Ancient Village Sports

#include<stdio.h>
#include<math.h>
#define PI acos(-1)
int main()
{
    int n,count=0;
    double a,b,c,d,r,R,area_of_polygon;
    double area_for_the_officials,area_for_the_spectators;
    while(scanf("%d%lf",&n,&area_of_polygon)==2)
    {
        if(n<3)
        {
            break;
        }
        count++;
        a=2*PI/n;
        b=PI/n;
        R=sqrt((area_of_polygon*2)/(n*sin(a)));
        r=sqrt((area_of_polygon)/(n*tan(b)));
        c=PI*R*R;
        d=PI*r*r;
        area_for_the_spectators=(c-area_of_polygon);
        area_for_the_officials=(area_of_polygon-d);
        printf("Case %d: ",count);
        printf("%.5lf",area_for_the_spectators);
        printf(" %.5lf\n",area_for_the_officials);
    }
    return 0;
}