/* -*- coding: utf-8 -*- * * 948.cc: No.948 Bomb vs Dush - yukicoder */ #include<cstdio> #include<cstdlib> #include<cstring> #include<cmath> #include<iostream> #include<string> #include<vector> #include<map> #include<set> #include<stack> #include<list> #include<queue> #include<deque> #include<algorithm> #include<numeric> #include<utility> #include<complex> #include<functional> using namespace std; /* constant */ const int CNT = 100; const double PI = acos(-1.0); const double PI2 = PI * 2; /* typedef */ /* global variables */ /* subroutines */ /* main */ int main() { double sr, lr; scanf("%lf%lf", &sr, &lr); double dd = sr * sr * 4; double t0 = -PI, t1 = 0.0; for (int cnt = 0; cnt < CNT; cnt++) { double t = (t0 + t1) / 2; double dx = lr * (cos(t) - 1.0), dy = lr * sin(t); if (dx * dx + dy * dy > dd) t0 = t; else t1 = t; } //printf("t0=%lf\n", t0); double th = PI2 + t0; double r0 = lr - sr, r1 = lr + sr; double s = PI * (r1 * r1 - r0 * r0) * th / PI2 + PI * sr * sr; printf("%.10lf\n%.10lf\n", th, s); return 0; }