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Convert between angle units instantly. Our free online angle converter supports degrees, radians, gradians, and more with precise, real-time results.

Angle Converter

免费角度转换器, 即时换算度、弧度、百分度、角分和角秒

使用 OmniConverter 免费在线角度转换器在度、弧度、百分度、角分和角秒之间即时换算。1 度等于 π/180 弧度,1 弧度约等于 57.3 度,1 直角等于 90 度或 π/2 弧度。无论你是数学家、测量员还是学生,都能获得精确的角度换算。

使用方法

通过三个简单步骤进行转换。

1

输入角度值

2

选择源角度单位与目标单位

3

查看转换后的角度

常用基准

参考

1 °°

1 °

参考

1 °rad

0.0174532925 rad

参考

1 °grad

1.1111111111 grad

参考

1 °'

59.99999988 '

参考

1 °"

3599.999712 "

参考

1 °gon

1.1111111111 gon

参考

1 °sign

0.0333333333 sign

参考

1 °mil

17.7777777778 mil

实际应用场景

在中国,测量和地理信息系统使用度(°)作为主要角度单位。GPS坐标通常以十进制度数(如39.9042°N, 116.4074°E)或度分秒(39°54′15″N, 116°24′26″E)表示。中国大地测量坐标系统(CGCS2000)使用经纬度。在数学教育中,学生从初中开始接触角度, 直角90°、平角180°、圆周角360°,高中学习弧度制(π rad = 180°)。建筑领域,屋顶坡度用百分比或角度表示, 一般住宅屋顶坡度10-30%。楼梯的舒适角度为30-35°。摄影中,镜头的视角以度为单位, 标准镜头46°,广角94°,长焦12°。物理中,光的折射角、反射角以度计量。在导航中,航向(方位角)以0-360°表示, 0°/360°为正北。军事上,火炮瞄准使用密位(mil),6,400密位=360°。土木工程中,边坡稳定的角度用度表示。无人机飞控的姿态角(俯仰、横滚、偏航)以度为单位。天文学中,视场角用度或角分表示。工程制图软件(AutoCAD)默认使用十进制角度制。射箭和射击运动中,MOA(角分)是精确度的标准单位。

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常见问题

常见换算问题的快速解答

经纬度怎么换算?+

度(°)分(')秒(")与十进制度可互相转换。1° = 60' = 3,600"。北京天安门:北纬39°54'26"。

建筑坡度怎么算?+

百分比坡度 = 上升高度/水平距离×100。屋顶坡度常用角度(°)表示。1:2坡度≈26.565°。

如何将度换算成弧度?+

度乘以π/180(≈0.01745)得到弧度。

如何将弧度换算成度?+

弧度乘以180/π(≈57.296)得到度。

什么是百分度(gon)?+

百分度将圆周分为400等份,用于测绘。100 gon = 90°。

什么是直角?+

直角 = 90° = 100 gon = π/2 rad。

如何将度换算成弧度?+

使用公式:弧度 = 度 × π / 180。

Latest Blog Posts

Tips, guides, and insights about unit conversions

Quick Answer: Angle Converter

Convert angle instantly — enter any value and get all units at once. Common angle conversions include degrees to radians (1° = π/180 rad), radians to degrees (1 rad = 57. Angle conversion is essential for engineering, mathematics, navigation, surveying, and computer graphics.

How the Angle Converter Works

Our angle converter uses precise mathematical relationships to convert between degrees, radians, gradians, arcminutes, and arcseconds.

Formula & Sources

Radian is SI supplementary. π rad = 180° exact; gradian = π/200 rad (ISO 80000-3).

Worked Example

Example: 90° = π/2 rad = 1.5708 rad = 100 grad. 45° = 0.785 rad.

Common Angle Conversions

Common angle conversions include degrees to radians (1° = π/180 rad), radians to degrees (1 rad = 57.296°), and degrees to gradians (1° = 1.111 grad).

When to Use Angle Conversion

Angle conversion is essential for engineering, mathematics, navigation, surveying, and computer graphics.

Accuracy & Common Mistakes

All factors are stored unrounded and computed in double precision. We avoid cumulative rounding by converting via a base unit. Always verify critical results with a second source for safety-critical tasks.

Frequently Asked Questions

How many degrees in a radian?

1 rad = 57.2958°. π rad = 180°.

How many radians is 90°?

90° = π/2 = 1.570796 rad.

What is a gradian?

400 grad = 360°. 1 grad = 0.9°. Used in surveying.

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