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The Radius of an Excircle. Let a Triangle have exradius (sometimes denoted
),
opposite side
and angle
, Area
, and Semiperimeter
. Then
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(1) |
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(2) | |
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(3) |
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(4) |
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(5) |
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(6) |
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(7) |
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(8) |
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(9) |
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(10) |
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(11) |
See also Circle, Circumradius, Excircle, Inradius, Radius
References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA:
Houghton Mifflin, 1929.
Mackay, J. S. ``Formulas Connected with the Radii of the Incircle and Excircles of a Triangle.''
Proc. Edinburgh Math. Soc. 12, 86-105.
Mackay, J. S. ``Formulas Connected with the Radii of the Incircle and Excircles of a Triangle.''
Proc. Edinburgh Math. Soc. 13, 103-104.
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© 1996-9 Eric W. Weisstein