UVa Solution 11152 - Colourful Flowers

#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstring>
using namespace std;
#define PI acos(-1.0)

int main()
{
    double  a, b, c, v, s;
    double A_sun, A_v, A_rose;
    double r_sun, d_sun, r_rose;

    while(scanf("%lf%lf%lf", &a, &b, &c)==3)
    {
        s = (a+b+c)/2;
        v = sqrt(s*(s-a)*(s-b)*(s-c));

        d_sun = (a*b*c)/(2*v);
        r_sun = (d_sun/2);
        A_sun = (PI*r_sun*r_sun)-v;

        r_rose = (v/s);
        A_rose = (PI*r_rose*r_rose);

        A_v = v-A_rose;

        printf("%0.4lf %0.4lf %0.4lf\n", A_sun, A_v, A_rose);
    }
}