Word Pronunciation & Dictionary

excircle

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: ex-cir-cle
IPA

19

Scrabble Score

8

Letters

3

Syllables

6

Unique Chars

Meaning

noun

An escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.

Example Sentences

"Also since the circle of inversion cuts both excircles orthogonally, each excircle inverts into itself."
"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."
"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."

Etymology

From ex- + circle.

Word Breakdown

Prefix: ex

Inflected Forms

excircles (plural)

Phrases

ex-tangential

Frequently Paired Words

excenter excentre incircle ex-tangential

Questions

What does excircle mean?: An escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.
Where does excircle come from?: From ex- + circle.

How to pronounce excircle

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