Find the radius of the excircle of the triangle.
Source: tatoeba (2570029)
Excircle
Synonyms for "excircle"
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Related word relations
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Translations
9 translations across 8 languages.
Finnish
2 entries- viereen piirretty ympyrä noun (escribed circle)
- vierusympyrä noun (escribed circle)
French
1 entries- cercle exinscrit noun (escribed circle)
Japanese
1 entries- 傍接円 noun (escribed circle)
Korean
1 entries- 방접원 noun (escribed circle)
Portuguese
1 entries- círculo exinscrito noun (escribed circle)
Swedish
1 entries- utvändig tangeringscirkel noun (escribed circle)
Vietnamese
1 entries- đường tròn bàng tiếp noun (escribed circle)
Welsh
1 entries- allgylch noun (escribed circle)
Sample sentences
4 total sentences available.
Also since the circle of inversion cuts both excircles orthogonally, each excircle inverts into itself.
Source: wiktionary
Extend the sides of triangle QRS and construct the three excircles: One excircle is tangent to side QR and rays SQ and SR; one excircle is tangent to side SR and rays QS and QR; and one excircle is tangent to side SQ and rays RS and RQ.
Source: wiktionary
Lemma 4.9 (The Diameter of the Incircle). Let ABC be a triangle whose incircle is tangent to #92;overline#123;BC#125; at D. If #92;overline#123;DE#125; is a diameter of the incircle and ray AE meets #92;overline#123;BC#125; at X, then BD#61;CX and X is the tangency point of the A-excircle to #92;overline#123;BC#125;. Incircles and excircles often have dual properties.
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.