Meaning of "radian" in English

A radian is a unit of angular measure used in mathematics and physics. It is defined as the angle created by a segment of a circle’s circumference equal in length to the circle's radius. In essence, a full circle encompasses 2π radians, which equates to approximately 6.28318 radians. This measure offers a more natural approach in mathematical calculations involving trigonometry and calculus than degrees. Furthermore, radians offer simplicity due to their direct relationship with the properties of circles.

Meaning of "radian" in French

In French, "radian" also refers to a mathematical measurement of angles. It’s the unit used when measuring angles in mathematics, offering an alternative to degrees. The term describes the angle formed when the arc length equals the radius of the circle. Just like in English, one complete revolution around a circle is equivalent to 2π radians. The radian simplifies calculations in mathematics, especially in fields like trigonometry and calculus, due to its natural emergence from the properties of circles.

Pronunciation of "radian" in English

Phonetic Transcription: [ˈreɪ.di.ən].

Pronunciation Variations: There may be slight variations in pronunciation between American and British English. In American English, the emphasis is often on the first syllable, sounding like "RAY-di-an," while in British English, the pronunciation might slightly soften the vowel sounds, but overall differences are minimal.

Pronunciation of "radian" in French

Phonetic Transcription: [ʁad.jɑ̃].

Pronunciation Variations: In French, the word is pronounced with a distinct French "r" and nasal vowel sounds, characteristic of the French language. Regional accents might subtly influence pronunciation, but the standard pronunciation remains consistent across French-speaking regions.

Sentence examples in English and translation to French

  1. The angle was measured in radians for greater precision. (L'angle a été mesuré en radians pour plus de précision.)
  2. One radian is approximately 57.2958 degrees. (Un radian équivaut à environ 57,2958 degrés.)
  3. Calculations in radians simplify the understanding of trigonometric functions. (Les calculs en radians simplifient la compréhension des fonctions trigonométriques.)
  4. Engineers often use radians in designing circular path systems. (Les ingénieurs utilisent souvent des radians dans la conception des systèmes de chemin circulaire.)
  5. Radians offer a natural framework for analyzing rotational motion. (Les radians offrent un cadre naturel pour analyser le mouvement de rotation.)
  6. Teaching radians in math class enhances students' comprehension of angles. (Enseigner les radians en cours de mathématiques améliore la compréhension des angles par les élèves.)
  7. The conversion from radians to degrees involves multiplying by 180/π. (La conversion des radians en degrés implique de multiplier par 180/π.)
  8. Most scientific calculators have a mode specifically for radians. (La plupart des calculatrices scientifiques ont un mode spécifiquement pour les radians.)
  9. In physics, radians are crucial for describing wave functions. (En physique, les radians sont cruciaux pour décrire les fonctions d'onde.)
  10. The circle's circumference divided by its radius gives 2π radians. (La circonférence du cercle divisée par son rayon donne 2π radians.)

Synonyms, antonyms, and similar words for "radian" in English

Synonyms: -
Antonyms: -
Similar Words: degree, angle, arc, circle, measure, revolution, unit, rad, polar, turn

Synonyms, antonyms, and similar words for "radian" in French

Synonyms: -
Antonyms: -
Similar Words: degré, angle, arc, cercle, mesure, révolution, unité, rad, polaire, tour

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