UnitCompiler
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角度与弧度 换算器

转换度、弧度、梯度、角分、角秒以及周角。

选择换算分类
°
0
rad
计算公式 rad = ° × 0.017453
1 ° = 0.0175 rad
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交互式可视化量角器与角度度量仪

拖动滑块或点击预设以实时观察圆心角、弧度、梯度与圆周比例

Acute Angle (0° < θ < 90°)
45.0°
角度 (Degrees)
45°
1/360
弧度 (rad)
0.7854 rad
0.2500 π rad
百分度 (grad)
50 grad
1/400
完整周数 (Revolutions)
0.1250 rev
2,700′ arcmin
θ = 45.0°
0° (0 rad) 90° (π/2) 180° (π) 270° (3π/2) 360° (2π)
常用预设:

ui.popularConversions - 角度与弧度

参考与转换系数

角度与弧度 参考与转换系数

基础基准单位: 度 (°) (°)

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单位名称 符号 分类 等值于 度 (°) 描述
度 (°) ° 📐 Standard Geometric & SI Units 1 ° = 1 ° 1/360th of a full circle rotation (standard planar angle base)
弧度 (rad) rad 📐 Standard Geometric & SI Units 1 rad = 57.29577951 ° SI derived unit of angle ($2\pi\text{ rad} = 360^\circ \approx 57.2958^\circ$)
梯度 (gon / grad) grad 📐 Standard Geometric & SI Units 1 grad = 0.9 ° Metric decimal angle system ($100\text{ grad} = 90^\circ$ right angle)
毫弧度 (mrad) mrad 📐 Standard Geometric & SI Units 1 mrad = 0.05729578 ° 1/1,000th of a radian, widely used in optics, sniper scopes & ballistics
微弧度 (μrad) µrad 📐 Standard Geometric & SI Units 1 µrad = 0.0000573 ° 1/1,000,000th of a radian for precision laser interferometer alignment
角分 (′) ′ 🔭 Astronomical & Arc Subdivisions 1 ′ = 0.01666667 ° 1/60th of a degree ($60\text{ arcmin} = 1^\circ$, MOA in precision shooting)
角秒 (″) ″ 🔭 Astronomical & Arc Subdivisions 1 ″ = 0.00027778 ° 1/3,600th of a degree ($60\text{ arcsec} = 1\text{ arcmin}$)
毫角秒 (mas) mas 🔭 Astronomical & Arc Subdivisions 1 mas = 2.7778e-7 ° 1/1,000th of an arcsecond for astronomical stellar parallax (Gaia telescope)
微角秒 (μas) µas 🔭 Astronomical & Arc Subdivisions 1 µas = 2.7778e-10 ° Deep space interferometer angular resolution (Event Horizon Telescope)
周角 (全转 / 360°) rev 🔄 Circular Cycles & Geometric Sectors 1 rev = 360 ° One complete rotation ($360^\circ$ or $2\pi\text{ radians}$)
直角 (象限角 / 90°) quad 🔄 Circular Cycles & Geometric Sectors 1 quad = 90 ° 1/4th of a full rotation ($90^\circ$ perpendicular right angle)
六分仪角 (60°) sextant 🔄 Circular Cycles & Geometric Sectors 1 sextant = 60 ° 1/6th of a full rotation ($60^\circ$ equilateral triangle angle)
八分仪角 (45°) octant 🔄 Circular Cycles & Geometric Sectors 1 octant = 45 ° 1/8th of a full rotation ($45^\circ$ diagonal angle)
黄道十二宫度 (30°) sign 🔄 Circular Cycles & Geometric Sectors 1 sign = 30 ° 1/12th of a circular celestial sphere ($30^\circ$ celestial longitude)
北约密位 (6400分圆) mil 🎯 Military, Navigation & Digital Systems 1 mil = 0.05625 ° Standard NATO military artillery compass ($6,400\text{ mils} = 360^\circ$)
华约/苏制密位 (6000分圆) mil (Soviet) 🎯 Military, Navigation & Digital Systems 1 mil (Soviet) = 0.06 ° Eastern European artillery angle system ($6,000\text{ mils} = 360^\circ$)
瑞典密位 (6300分圆) streck 🎯 Military, Navigation & Digital Systems 1 streck = 0.05714286 ° Nordic defense artillery system ($6,300\text{ streck} = 360^\circ$)
罗盘罗经点 (11.25°) pt 🎯 Military, Navigation & Digital Systems 1 pt = 11.25 ° Traditional 32-point nautical mariner compass ($1\text{ pt} = 11.25^\circ$)
二进制弧度 (Brad) brad 🎯 Military, Navigation & Digital Systems 1 brad = 1.40625 ° 8-bit binary fixed-point angle for GPUs and 3D math ($256\text{ brads} = 360^\circ$)

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