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The Distance from the Circumcenter to an Excenter

​
OE
≈
8.36
R
≈
4.81
r
≈
4.85
2
OE
≈
69.89
2
R
+
2
R
r
≈
69.89
Let ABC be a triangle with circumcenter O and let E be the excenter of the excircle opposite A. Let
R
be the circumradius and
r
the exradius. Then
2
OE
=
2
R
+2Rr
.
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