diff --git a/docs/api.rst b/docs/api.rst
index 4ae2180..aa5cb98 100644
--- a/docs/api.rst
+++ b/docs/api.rst
@@ -53,3 +53,5 @@ Predicates
    equals
    intersects
    contains
+   within
+   disjoint   
diff --git a/src/predicates.cpp b/src/predicates.cpp
index 0c14c0b..5e7c5d0 100644
--- a/src/predicates.cpp
+++ b/src/predicates.cpp
@@ -32,6 +32,22 @@ bool contains(PyObjectGeography a, PyObjectGeography b) {
     return s2geog::s2_contains(a_index, b_index, options);
 }
 
+bool within(PyObjectGeography a, PyObjectGeography b) {
+    const auto& a_index = a.as_geog_ptr()->geog_index();
+    const auto& b_index = b.as_geog_ptr()->geog_index();
+
+    S2BooleanOperation::Options options;
+    return s2geog::s2_contains(b_index, a_index, options);
+}
+
+bool disjoint(PyObjectGeography a, PyObjectGeography b) {
+    const auto& a_index = a.as_geog_ptr()->geog_index();
+    const auto& b_index = b.as_geog_ptr()->geog_index();
+
+    S2BooleanOperation::Options options;
+    return !s2geog::s2_intersects(a_index, b_index, options);
+}
+
 void init_predicates(py::module& m) {
     m.def("intersects", py::vectorize(&intersects), py::arg("a"), py::arg("b"),
           R"pbdoc(
@@ -64,8 +80,16 @@ void init_predicates(py::module& m) {
           R"pbdoc(
         Returns True if B is completely inside A.
 
-        A contains B if no points of B lie in the exterior of A and at least
-        one point of the interior of B lies in the interior of A.
+        Parameters
+        ----------
+        a, b : :py:class:`Geography` or array_like
+            Geography object(s)
+
+    )pbdoc");
+    
+    m.def("within", py::vectorize(&within), py::arg("a"), py::arg("b"),
+          R"pbdoc(
+        Returns True if A is completely inside B.
 
         Parameters
         ----------
@@ -73,4 +97,17 @@ void init_predicates(py::module& m) {
             Geography object(s)
 
     )pbdoc");
-}
+
+    m.def("disjoint", py::vectorize(&disjoint), py::arg("a"), py::arg("b"),
+          R"pbdoc(
+        Returns True if A boundaries and interior does not intersect at all
+        with those of B.
+
+        Parameters
+        ----------
+        a, b : :py:class:`Geography` or array_like
+            Geography object(s)
+
+    )pbdoc");
+
+    }
diff --git a/src/spherely.pyi b/src/spherely.pyi
index b241463..64ea736 100644
--- a/src/spherely.pyi
+++ b/src/spherely.pyi
@@ -104,6 +104,8 @@ destroy_prepared: _VFunc_Nin1_Nout1[Literal["destroy_prepared"], Geography, Any]
 intersects: _VFunc_Nin2_Nout1[Literal["intersects"], bool, bool]
 equals: _VFunc_Nin2_Nout1[Literal["intersects"], bool, bool]
 contains: _VFunc_Nin2_Nout1[Literal["contains"], bool, bool]
+within: _VFunc_Nin2_Nout1[Literal["within"], bool, bool]
+disjoint: _VFunc_Nin2_Nout1[Literal["disjoint"], bool, bool]
 
 # temp (remove)
 
diff --git a/tests/test_predicates.py b/tests/test_predicates.py
index 77d67a4..57c78c7 100644
--- a/tests/test_predicates.py
+++ b/tests/test_predicates.py
@@ -61,3 +61,42 @@ def test_contains():
     a2 = spherely.LineString([(50, 8), (60, 8)])
     b2 = spherely.Point(50, 8)
     assert spherely.contains(a2, b2)
+    
+def test_within():
+    # test array + scalar
+    a = spherely.Point(40, 8) 
+    b = np.array(
+        [
+            spherely.LineString([(40, 8), (60, 8)]),
+            spherely.LineString([(20, 0), (30, 0)]),
+        ]
+    )
+
+    actual = spherely.within(a, b)
+    expected = np.array([True, False])
+    np.testing.assert_array_equal(actual, expected)
+
+    # two scalars
+    a2 = spherely.Point(50, 8)
+    b2 = spherely.LineString([(50, 8), (60, 8)])
+    assert spherely.within(a2, b2)
+    
+def test_disjoint():
+    
+    a = spherely.Point(40, 9) 
+    b = np.array(
+        [
+            spherely.LineString([(40, 8), (60, 8)]),
+            spherely.LineString([(20, 0), (30, 0)]),
+        ]
+    )
+
+    actual = spherely.disjoint(a, b)
+    expected = np.array([True, True])
+    np.testing.assert_array_equal(actual, expected)
+
+    # two scalars
+    a2 = spherely.Point(50, 9)
+    b2 = spherely.LineString([(50, 8), (60, 8)])
+    assert spherely.disjoint(a2, b2)
+    
\ No newline at end of file