V2EX radian

Radian

Definition / 定义

radian(弧度):一种常用的角度单位。当一个圆心角所对的弧长等于半径时,这个角的大小就是 1 弧度(1 rad)
补充:2π rad = 360°(一整圈)。

Pronunciation / 发音

/redin/

Examples / 例句

The angle is measured in radians, not degrees.
这个角用弧度来测量,而不是用度数。

To compute the sine correctly, make sure your calculator is set to radians, because the formula assumes angles are in radians.
为了正确计算正弦值,请确保计算器设置为弧度模式,因为这个公式默认角度用弧度表示。

Etymology / 词源

radian 来自 radius(半径) 加后缀 -an,表示“与半径相关的(角度单位)”。该术语在 19 世纪被提出并推广,用来给“以半径和弧长定义的角度大小”提供一个统一名称。

Related Words / 相关词

Literary Works / 文学作品

  • The Feynman Lectures on Physics(费曼《物理学讲义》)
  • Calculus(James Stewart《微积分》)
  • Mathematical Methods for Physicists(Arfken 等《物理学家的数学方法》)
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