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Quadrilateral
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Cyclic quadrilateral
α
+
γ
=
180
°
β
+
δ
=
180
°
Ptolemy's theorem
e
·
f
=
a
·
c
+
b
·
d
Perimeter:
P
=
2
·
s
=
a
+
b
+
c
+
d
s
=
a
+
b
+
c
+
d
2
Area:
A
=
s
-
a
·
s
-
b
·
s
-
c
·
s
-
d
Tangential
quadrilateral
a
+
c
=
b
+
d
Perimeter:
P
=
2
·
s
=
a
+
b
+
c
+
d
Area:
A
=
s
·
r
Keywords: quadrilateral, cyclic quadrilateral, Ptolemy
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