#include<bits/stdc++.h>
using namespace std;
#define int long long
const double pi=acos(-1),eps=1e-12;
const int N=105;
int n;double x0,y0,d,t;
struct Point{
	double x,y;
	Point operator-(const Point &b){
		return Point{x-b.x,y-b.y};
	}
	Point operator+(const Point &b){
		return Point{x+b.x,y+b.y};
	}
	friend double operator^(const Point &a,const Point &b){
		return a.x*b.y-a.y*b.x;
	}
}p[N];
double change(double th){
	while(th>=pi*2)
		th-=pi*2;
	while(th<0)
		th+=pi*2;
	return th;
}
bool check(double th,int sgn){
	Point o={cos(th)*d,sin(th)*d};
	Point v={cos(th-pi/2*sgn),sin(th-pi/2*sgn)};
//	cout<<o.x<<" "<<o.y<<"\n";
//	cout<<v.x<<" "<<v.y<<"\n";
	for(int i=0;i<n;i++){
		Point a=p[i]-o;
//		cout<<a.x<<" "<<a.y<<" "<(v^a)<<"\n";
		if(sgn==1){
			if((v^a)<-eps)
				return 0;
		}
		if(sgn==-1){
			if((v^a)>eps)
				return 0;
		}
	}
//	cout<<"!\n";
	return 1;
}
double inter(double l,double r,double u,double v){
	if(r<u||l>v)
		return 0;
	return min(r,v)-max(l,u);
}
void print(double th){
	cout<<cos(th)*d<<" "<<sin(th)*d<<"\n";
}
void solve(){
	cin>>n>>x0>>y0>>d>>t;
	vector<double> l,r;
	for(int i=0;i<n;i++){
		cin>>p[i].x>>p[i].y;
		double a=atan2(p[i].y,p[i].x);
		double b=atan2(sqrt(p[i].x*p[i].x+p[i].y*p[i].y-d*d),d);
		l.push_back(change(a+b));
		r.push_back(change(a-b));
	}
	sort(l.begin(),l.end());
	sort(r.begin(),r.end());
	double S,T;
	if(check(l[0],1))
		T=l[0];
	else
		T=l[n-1];
	if(check(r[0],-1))
		S=r[0];
	else
		S=r[n-1];
//	cout<<L<<" "<<R<<"\n";
//	print(L);print(R);
	double th0=atan2(y0,x0),ans=0;
	S-=th0;T-=th0;
	double C=T-S;
	while(t>=2*pi){
		ans+=C;
		t-=pi*2;
	}
	if(S<T){
		ans+=inter(0,t,S,T);
	}
	else{
		ans+=inter(0,t,0,T);
		ans+=inter(0,t,S,pi*2);
	}
	cout<<fixed<<setprecision(12)<<ans<<"\n";
}
signed main(){
	ios::sync_with_stdio(false);
	cin.tie();cout.tie();
//	int T;cin>>T;
//	while(T--)
		solve();
	return 0;
}
/*
3 1 0 1 10000
1 2
2 1
2 2
*/

answer.code:6:17: error: ‘double y0’ redeclared as different kind of entity
    6 | int n;double x0,y0,d,t;
      |                 ^~
In file included from /usr/include/features.h:461,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/os_defines.h:39,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/c++config.h:679,
                 from /usr/include/c++/13/cassert:43,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:33,
                 from answer.code:1:
/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220:1: note: previous declaration ‘double y0(double)’
  220 | __MATHCALL (y0,, (_Mdouble_));
      | ^~~~~~~~~~
answer.code: In function ‘void solve()’:
answer.code:55:19: error: no match for ‘operator>>’ (operand types are ‘std::basic_istream<char>::__istream_type’ {aka ‘std::basic_istream<char>’} and ‘double(double) noexcept’)
   55 |         cin>>n>>x0>>y0>>d>>t;
      |         ~~~~~~~~~~^~~~
      |               |     |
      |               |     double(double) noexcept
      |               std::basic_istream<char>::__istream_type {aka std::basic_istream<char>}
In file included from /usr/include/c++/13/sstream:40,
                 from /usr/include/c++/13/complex:45,
                 from /usr/include/c++/13/ccomplex:39,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:127:
/usr/include/c++/13/istream:325:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(void*&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  325 |       operator>>(void*& __p)
      |       ^~~~~~~~
/usr/include/c++/13/istream:325:7: note:   conversion of argument 1 would be ill-formed:
answer.code:55:21: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘void*’ [-fpermissive]
   55 |         cin>>n>>x0>>y0>>d>>t;
      |                     ^~
      |                     |
      |                     double (*)(double) noexcept
answer.code:55:21: error: cannot bind rvalue ‘(void*)y0’ to ‘void*&’
/usr/include/c++/13/istream:201:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  201 |       operator>>(unsigned long long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:201:7: note:   conversion of argument 1 would be ill-formed:
answer.code:55:21: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long long unsigned int’ [-fpermissive]
   55 |         cin>>n>>x0>>y0>>d>>t;
      |                     ^~
      |                     |
      |                     double (*)(double) noexcept
answer.code:55:21: error: cannot bind rvalue ‘(long long unsigned int)y0’ to ‘long long unsigned int&’
/usr/include/c++/13/istream:197:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  197 |       operator>>(long long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:197:7: note:   conversion of argument 1 would be ill-formed:
answer.code:55:21: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long long int’ [-fpermissive]
   55 |         cin>>n>>x0>>y0>>d>>t;
      |                     ^~
      |                     |
      |                     double (*)(double) noexcept
answer.code:55:21: error: cannot bind rvalue ‘(long long int)y0’ to ‘long long int&’
/usr/include/c++/13/istream:192:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  192 |       operator>>(unsigned long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:192:7: note:   conversion of argument 1 would be ill-formed:
answer.code:55:21: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long unsigned int’ [-fpermissive]
   55 |         cin>>n>>x0>>y0>>d>>t;
      |                     ^~
      |                     |
      |                     double (*)(double) noexcept
answer.code:55:21: error: cannot bind rvalue ‘(long unsigned int)y0’ to ‘long unsigned int&’
/usr/include/c++/13/istream:188:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  188 |       operator>>(long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:188:7: note:   conversion of argument 1 would be ill-formed:
answer.cod...