UVa11152 - Colourful Flowers

#include <iostream>#include <fstream>#include <cmath>using namespace std;const double PI = 2 * acos(0);int main(){    double a, b, c;#ifndef ONLINE_JUDGE    ifstream cin("uva_in.txt");#endif        cout.precision(4);    while (cin >> a >> b >> c) {        double cos = (b * b + c * c - a * a) /  (2 * b * c);        double sin = sqrt(1 - cos * cos);        double R = a / sin / 2;        double p = 0.5 * (a + b + c);        double area1 = PI * R * R;        double area2 = sqrt(p * (p - a) * (p - b) * (p - c));        double r = area2 / p;        double area3 = PI * r * r;        cout << fixed << area1 - area2 << " " << area2 - area3 << " " << area3 << endl;    }    return 0;}