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GPS经纬度度分秒转十进制小数点格式的换算公式角度与弧度互相转换

度分秒转换成小数

输入纬度(度/分/秒):
输入经度(度/分/秒):

纬度: 经度:

小数转换成度分秒

输入纬度(小数，如 23.24523):
输入经度(小数，如 112.3453):

纬度: 经度:

定义与数学转换公式

An angle of 1 radian results in an arc with an equal length to the radius of the circle.

1. 弧度的概念
弧度的单位定义是: 从圆心向外引两条射线, 形成一个夹角以及正对着的一条弧. 当弧长正好等于圆的半径时,定义夹角的弧度为1

2. 角度和弧度的转换
角度和弧度的基本关系是: 180角度等于π 弧度. 所以有以下关系: 弧度 = 角度 * π / 180

度、分、秒的进制都是60
1度=60分 1分=60秒
度化成分乘以60, 分化成秒乘以60; 反之,分化成度除以60, 秒化成分也是除以60
从度乘以60后,取整为分,小数部分继续乘60

Conversion between radians and degrees

As stated, one radian is equal to 180/π degrees. Thus, to convert from radians to degrees, multiply by 180/π. For example,

${deg} = {rad} \cdot \frac {180^\circ} {\pi}$

For Example:

$1 \mbox{ rad} = 1 \cdot \frac {180^\circ} {\pi} \approx 57.2958^\circ$

$2.5 \mbox{ rad} = 2.5 \cdot \frac {180^\circ} {\pi} \approx 143.2394^\circ$

$\frac {\pi} {3} \mbox{ rad} = \frac {\pi} {3} \cdot \frac {180^\circ} {\pi} = 60^\circ$

Conversely, to convert from degrees to radians, multiply by π/180.

${rad} = {deg} \cdot \frac {\pi} {180^\circ}$

For Example:

$1^\circ = 1 \cdot \frac {\pi} {180^\circ} \approx 0.0175 \mbox{ rad}$

$23^\circ = 23 \cdot \frac {\pi} {180^\circ} \approx 0.4014 \mbox{ rad}$

Radians can be converted to revolutions by dividing the number of radians by 2π.

Conversion between radians and grads

2π radians are equal to one complete revolution, which is 400^g. So, to convert from radians to grads multiply by 200/π, and to convert from grads to radians multiply by π/200. For example,

$1.2 \mbox{ rad} = 1.2 \cdot \frac {200^{\rm g}} {\pi} \approx 76.3944^{\rm g}$

$50^{\rm g} = 50 \cdot \frac {\pi} {200^{\rm g}} \approx 0.7854 \mbox{ rad}$