radian

[ˈreɪdiən]
nounmasculinepl: radians
radiano
1. A unit of angular measurement equal to the angle subtended at the center of a circle by an arc whose length equals the radius of the circle
One complete rotation around a circle equals 2π radians.
Uma rotação completa em torno de um círculo é igual a 2π radianos.
2. In mathematics and physics, the standard unit of angular measure used in scientific calculations and trigonometry
The angle was measured in radians rather than degrees for the calculus problem.
O ângulo foi medido em radianos em vez de graus para o problema de cálculo.
The radian is the preferred unit in higher mathematics, physics, and engineering across both English-speaking and Portuguese-speaking countries. It is less commonly used in elementary education where degrees are typically taught first. The term is identical in both English and Portuguese, reflecting its status as a universal scientific unit.

Regional Variations

General Brazilian
radiano
Standard mathematical term used in education and scientific contexts
Portugal
radiano
Same usage as Brazilian Portuguese; standard mathematical terminology
USA
radian
Primary unit in advanced mathematics, physics, and engineering

Related Words

angledegreearctrigonometrycircleangular measurement
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