A goat in a kitchen garden
http://acm.timus.ru/problem.aspx?space=1&num=1084
Time Limit: 2.0 second
Memory Limit: 1 000 K
Someone has let a goat in a square kitchen-garden and had bound it to a stake. The stake is driven into the ground in the very midst of the square. The goat is hungry as a hunter and very voracious, and eats everything that can be reached without leaving the square and tearing the roap. What area of the kitchen-garden will be ate round?
1. Input
contains lengths of the garden sides and a cord length in meters (natural numbers not exceeding 100, located in one line and separated with a space).
2. Output
should contain an area of the kitchen-garden (in square meters to within 3 symbols after a decimal point), ate round by the goat.
3. Sample Input
{{{10 6 }}}
4. Sample Output
{{{95.091 }}}
1 #include <iostream>
2 #include <iomanip>
3 #include <cmath>
4 using namespace std;
5
6 int main()
7 {
8 int n, r;
9 cin >> n >> r;
10 if(n >= 2*r) {
11 cout << fixed <<showpoint << setprecision(3) << 3.14159266*r*r << endl;
12 } else if(n < r *1.41421356237){
13 cout << fixed <<showpoint << setprecision(3) << 1.0*n*n << endl;
14 } else {
15 double theta = acos(n/2.0/r);
16 cout << fixed << showpoint <<setprecision(3) << sin(theta)*r*n*2+r*r*(3.14159266-theta*4) << endl;
17 }
18 }