一度等于 0.01745329252 弧度:
1° = π/180° = 0.005555556π = 0.01745329252 rad
因此,以弧度表示的角 α 等于以度数表示的角 α 乘以 pi 常数除以 180 度:
α(radians) = α(degrees) × π / 180°
或者
radians = degrees × π / 180°
将 25 度角转换为弧度:
α(radians) = α(degrees) × π / 180° = 25° × 3.14159 / 180° = 0.436332313 rad
将 50 度角转换为弧度:
α(radians) = α(degrees) × π / 180° = 50° × 3.14159 / 180° = 0.872664626 rad
将 90 度角转换为弧度:
α(radians) = α(degrees) × π / 180° = 90° × 3.14159 / 180° = 1.5707963268 rad
所以以弧度为单位的角度 α 等于以度数为单位的角度 α 乘以 pi 常数除以 [180] 度。
α(radians) = (α(degrees) / 180°) × π
将 40 度角转换为圆周率的弧度:
α(radians) = (α(degrees) / 180°) × π = (40° / 180°) × π
= (1/6) × π = π/6 rad = 0.22222222222π rad
将 90 度角转换为圆周率的弧度:
α(radians) = (α(degrees) / 180°) × π = (90° / 180°) × π
= (1/6) × π = π/6 rad = 0.5π rad
将 120 度角转换为圆周率的弧度:
α(radians) = (α(degrees) / 180°) × π = (120° / 180°) × π
= (1/6) × π = π/6 rad = 0.66666666667π rad