#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif

#include <type_traits>

namespace geometry {

template <typename T> struct Point {
    static T EPS;

    static void set_eps(T eps) { EPS = eps; }

    T x, y;

    Point() {}

    Point(T x, T y) : x(x), y(y) {}

    Point operator+(const Point& p) const { return Point(x + p.x, y + p.y); }

    Point operator-(const Point& p) const { return Point(x - p.x, y - p.y); }

    Point operator*(T t) const { return Point(x * t, y * t); }

    Point operator/(T t) const { return Point(x / t, y / t); }

    bool operator==(const Point& p) const { return x == p.x and y == p.y; }

    bool operator!=(const Point& p) const { return not((*this) == p); }

    bool operator<(const Point& p) const { return x != p.x ? x < p.x : y < p.y; }

    friend std::istream& operator>>(std::istream& is, Point& p) { return is >> p.x >> p.y; }

    friend std::ostream& operator<<(std::ostream& os, const Point& p) { return os << p.x << ' ' << p.y; }

    T norm() { return std::sqrt(x * x + y * y); }

    T norm2() { return x * x + y * y; }

    T arg() { return std::atan2(y, x); }

    T dot(const Point& p) { return x * p.x + y * p.y; }

    T det(const Point& p) { return x * p.y - y * p.x; }

    Point perp() { return Point(-y, x); }

    Point unit() { return *this / norm(); }

    Point normal() { return perp().unit(); }

    Point rotate(T rad) { return Point(std::cos(rad) * x - std::sin(rad) * y, std::sin(rad) * x + std::cos(rad) * y); }
};

template <> double Point<double>::EPS = 1e-9;
template <> long double Point<long double>::EPS = 1e-12;
template <> int Point<int>::EPS = 0;
template <> long long Point<long long>::EPS = 0;

template <typename T> int sgn(T x) { return x < -Point<T>::EPS ? -1 : x > Point<T>::EPS ? 1 : 0; }

}  // namespace geometry

namespace geometry {

enum Position { COUNTER_CLOCKWISE = +1, CLOCKWISE = -1, ONLINE_BACK = +2, ONLINE_FRONT = -2, ON_SEGMENT = 0 };

template <typename T> Position ccw(const Point<T>& a, Point<T> b, Point<T> c) {
    b = b - a;
    c = c - a;
    if (sgn(b.det(c)) == 1) return COUNTER_CLOCKWISE;
    if (sgn(b.det(c)) == -1) return CLOCKWISE;
    if (sgn(b.dot(c)) == -1) return ONLINE_BACK;
    if (b.norm2() < c.norm2()) return ONLINE_FRONT;
    return ON_SEGMENT;
}

}  // namespace geometry

namespace geometry {

template <typename T> struct Polygon : std::vector<Point<T>> {
    using std::vector<Point<T>>::vector;

    Polygon(int n) : std::vector<Point<T>>(n) {}

    T area2() {
        T sum = 0;
        int n = this->size();
        for (int i = 0; i < n; i++) sum += (*this)[i].det((*this)[i + 1 == n ? 0 : i + 1]);
        return sum < 0 ? -sum : sum;
    }

    T area() { return area2() / 2; }

    bool is_convex() {
        int n = this->size();
        for (int j = 0; j < n; j++) {
            int i = (j == 0 ? n - 1 : j - 1), k = (j == n - 1 ? 0 : j + 1);
            if (ccw((*this)[i], (*this)[j], (*this)[k]) == CLOCKWISE) return false;
        }
        return true;
    }
};

}  // namespace geometry

namespace geometry {

template <typename T> std::vector<int> convex_hull(const std::vector<Point<T>>& P, bool inclusive = false) {
    int n = P.size();
    if (n == 1) return {0};
    if (n == 2) return {0, 1};
    std::vector<int> ord(n);
    std::iota(begin(ord), end(ord), 0);
    std::sort(begin(ord), end(ord), [&](int l, int r) { return P[l] < P[r]; });
    std::vector<int> ch(n + 1, -1);
    int s = 0, t = 0;
    for (int _ = 0; _ < 2; _++, s = --t, std::reverse(begin(ord), end(ord))) {
        for (int& i : ord) {
            for (; t >= s + 2; t--) {
                auto det = (P[ch[t - 1]] - P[ch[t - 2]]).det(P[i] - P[ch[t - 2]]);
                if (inclusive ? det >= 0 : det > 0) break;
            }
            ch[t++] = i;
        }
    }
    return {begin(ch), begin(ch) + t - (t == 2 and ch[0] == ch[1])};
}

}  // namespace geometry

namespace geometry {

template <typename T> struct Circle {
    Point<T> c;
    T r;

    Circle() {}

    Circle(Point<T> c, T r) : c(c), r(r) {}

    friend std::istream& operator>>(std::istream& is, Circle& c) { return is >> c.c >> c.r; }

    friend std::ostream& operator<<(std::ostream& os, const Circle& c) { return os << c.c << ' ' << c.r; }
};

}  // namespace geometry

namespace geometry {

template <typename T> struct Line {
    Point<T> a, b;

    Line() {}

    Line(const Point<T>& a, const Point<T>& b) : a(a), b(b) {}

    // A * x + B * y + C = 0
    Line(T A, T B, T C) {}

    friend std::istream& operator>>(std::istream& is, Line& l) { return is >> l.a >> l.b; }

    friend std::ostream& operator<<(std::ostream& os, const Line& l) { return os << l.a << " to " << l.b; }
};

template <typename T> struct Segment : Line<T> {
    Segment() {}

    Segment(const Point<T>& a, const Point<T>& b) : Line<T>(a, b) {}
};

}  // namespace geometry

namespace geometry {

template <typename T> Point<T> projection(const Line<T>& l, const Point<T>& p) {
    Point<T> a = p - l.a, b = l.b - l.a;
    return l.a + b * a.dot(b) / b.norm2();
}

}  // namespace geometry

namespace geometry {

template <typename T> bool is_parallel(const Line<T>& l, const Line<T>& m) {
    return sgn((l.b - l.a).det(m.b - m.a)) == 0;
}

template <typename T> bool is_orthogonal(const Line<T>& l, const Line<T>& m) {
    return sgn((l.b - l.a).dot(m.b - m.a)) == 0;
}

template <typename T> bool has_crosspoint(const Segment<T>& s, const Segment<T>& t) {
    return ccw(s.a, s.b, t.a) * ccw(s.a, s.b, t.b) <= 0 and ccw(t.a, t.b, s.a) * ccw(t.a, t.b, s.b) <= 0;
}

template <typename T> int count_common_tangent(const Circle<T>& c, const Circle<T>& d) {
    T dist = (c.c - d.c).norm();
    int tmp = sgn(dist - (c.r + d.r));
    if (tmp > 0) return 4;
    if (tmp == 0) return 3;
    tmp = sgn(dist - (sgn(c.r - d.r) > 0 ? c.r - d.r : d.r - c.r));
    if (tmp > 0) return 2;
    if (tmp == 0) return 1;
    return 0;
}

template <typename T> Point<T> crosspoint(const Line<T>& l, const Line<T>& m) {
    assert(not is_parallel(l, m));
    Point<T> u = l.b - l.a, v = m.b - m.a;
    return l.a + u * v.det(m.a - l.a) / v.det(u);
}

template <typename T> Point<T> crosspoint(const Segment<T>& s, const Segment<T>& t) {
    assert(has_crosspoint(s, t));
    if (not is_parallel(s, t)) return crosspoint(Line(s.a, s.b), Line(t.a, t.b));
    std::vector<Point<T>> v = {s.a, s.b, t.a, t.b};
    for (int i = 0; i <= 2; i++) {
        for (int j = 2; j >= i; j--) {
            if (v[j + 1] < v[j]) {
                std::swap(v[j], v[j + 1]);
            }
        }
    }
    return v[1];
}

template <typename T> std::vector<Point<T>> crosspoint(const Circle<T>& c, const Line<T>& l) {
    Point<T> h = projection(l, c.c);
    T x = c.r * c.r - (c.c - h).norm2();
    if (sgn(x) < 0) return {};
    if (sgn(x) == 0) return {h};
    Point<T> v = (l.b - l.a).unit() * std::sqrt(x);
    return {h - v, h + v};
}

template <typename T> std::vector<Point<T>> crosspoint(const Circle<T>& c, const Segment<T>& s) {}

template <typename T> std::vector<Point<T>> crosspoint(const Circle<T>& c1, const Circle<T>& c2) {
    T r1 = c1.r, r2 = c2.r;
    if (r1 < r2) return crosspoint(c2, c1);
    T d = (c2.c - c1.c).norm();
    if (sgn(d - (r1 + r2)) > 0 or sgn(d - (r1 - r2)) < 0) return {};
    Point<T> v = c2.c - c1.c;
    if (sgn(d - (r1 + r2)) == 0 or sgn(d - (r1 - r2)) == 0) return {c1.c + v.unit() * r1};
    T p = ((r1 * r1 - r2 * r2) / d + d) / 2, q = std::sqrt(r1 * r1 - p * p);
    Point<T> h = c1.c + v.unit() * p;
    Point<T> i = v.normal();
    return {h + i * q, h - i * q};
}

}  // namespace geometry

using namespace std;

typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};

template <class T> istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) is >> x;
    return is;
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
    auto sep = "";
    for (const auto& x : v) os << exchange(sep, " ") << x;
    return os;
}

template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }

template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }

template <class T> void mkuni(vector<T>& v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }

using namespace geometry;
const double PI = acos(-1);

double f(double l, double r, double x) {
    while (l < 0) l += 2 * PI;
    while (l >= 2 * PI) l -= 2 * PI;
    while (r < l) r += 2 * PI;
    while (r - 2 * PI >= l) r -= 2 * PI;
    while (x < l) x += 2 * PI;
    while (r < x) x -= 2 * PI;
    return l <= x and x <= r ? x : -1;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int N, R;
    cin >> N >> R;
    Polygon<double> ps;
    for (int i = 0; i < N; i++) {
        int X, Y;
        cin >> X >> Y;
        ps.emplace_back(X, Y);
    }

    {
        auto res = convex_hull(ps);
        vector<Point<double>> nps;
        for (int& idx : res) nps.emplace_back(ps[idx]);
        swap(ps, nps);
        N = ps.size();
    }
    double sum = ps.area(), ans = sum;
    Circle<double> C(Point<double>(0, 0), R);
    auto calc = [&](int l, int len) -> double {
        Line<double> L(ps[l], ps[(l + len) % N]);
        auto cross = crosspoint(C, L);
        assert(int(cross.size()) == 2);
        if (ps[l] != cross[0] and ccw(ps[l], ps[(l + len) % N], cross[0]) != ONLINE_BACK) {
            swap(cross[0], cross[1]);
            // assert(ps[l] == cross[0] or ccw(ps[l], ps[(l + len) % N], cross[0]) == ONLINE_BACK);
        }
        double start = atan2(cross[0].y, cross[0].x), end = atan2(cross[1].y, cross[1].x);
        auto center = (cross[0] + cross[1]) / 2;
        Line<double> perp(center, center + (L.b - L.a).perp());
        double res = 0;
        if (len > 1) {
            Line<double> l1(ps[l], ps[(l + 1) % N]);
            Line<double> l2(ps[(l + len) % N], ps[(l + len - 1) % N]);
            auto cross1 = crosspoint(C, l1);
            auto cross2 = crosspoint(C, l2);
            assert(int(cross1.size()) == 2);
            assert(int(cross2.size()) == 2);
            vector<double> a1, a2;
            for (auto p : cross1) a1.emplace_back(atan2(p.y, p.x));
            for (auto p : cross2) a2.emplace_back(atan2(p.y, p.x));
            if (f(start, end, a1[0]) == -1) swap(a1[0], a1[1]);
            if (f(start, end, a2[0]) == -1) swap(a2[0], a2[1]);
            // assert(f(start, end, a1[0]) != -1);
            // assert(f(start, end, a2[0]) != -1);
            if (f(start, end, a1[0]) < f(start, end, a2[0])) return -IINF;
            start = a2[0], end = a1[0];
        }
        {
            Polygon<double> tmp;
            tmp.emplace_back(ps[l]);
            tmp.emplace_back(ps[(l + len) % N]);
            tmp.emplace_back(cos(start) * R, sin(start) * R);
            res = max(res, tmp.area());
        }
        {
            Polygon<double> tmp;
            tmp.emplace_back(ps[l]);
            tmp.emplace_back(ps[(l + len) % N]);
            tmp.emplace_back(cos(end) * R, sin(end) * R);
            res = max(res, tmp.area());
        }
        {
            auto cross3 = crosspoint(C, perp);
            for (auto p : cross3) {
                double x = atan2(p.y, p.x);
                if (f(start, end, x) != -1) {
                    Polygon<double> tmp;
                    tmp.emplace_back(ps[l]);
                    tmp.emplace_back(ps[(l + len) % N]);
                    tmp.emplace_back(p);
                    res = max(res, tmp.area());
                }
            }
        }
        return res;
    };
    for (int i = 0; i < N; i++) {
        double sub = 0;
        for (int j = 1; j < N; j++) {
            if (j > 1) {
                Polygon<double> tmp;
                tmp.emplace_back(ps[i]);
                tmp.emplace_back(ps[(i + j - 1) % N]);
                tmp.emplace_back(ps[(i + j) % N]);
                sub += tmp.area();
            }
            ans = max(ans, sum + calc(i, j) - sub);
        }
    }

    cout << fixed << setprecision(15);
    cout << ans << '\n';
    return 0;
}