# Angle Converter

Streamline angle conversions. Easily convert between different units of angle to simplify your calculations and measurements.

**Result:**

## Mastering Angle Conversions: A Comprehensive Guide to the Angle Unit Converter

**Introduction:**Understanding and converting between different angle units is crucial in various fields such as mathematics, physics, and engineering. The Angle Unit Converter provides a convenient way to convert angle measurements accurately. In this guide, we'll delve into the Angle Unit Converter, covering its supported units, conversion formulas, step-by-step conversion process, and practical examples.

**Units Supported:**The Angle Unit Converter supports a wide range of angle units, including:

- Degree [°]
- Radian [rad]
- Grad [^g]
- Minute [‚]
- Second [„]
- Gon
- Sign
- Mil
- Revolution [r]
- Circle
- Turn
- Quadrant
- Right angle
- Sextant

**Formula:**The conversion formulas for angle units depend on the relationship between the units. Here are some common conversion formulas:

Degree to Radian:

- $1 \, \text{degree} = \frac{\pi}{180} \, \text{radian}$

Radian to Degree:

- $1 \, \text{radian} = \frac{180}{\pi} \, \text{degree}$

Degree to Grad:

- $1 \, \text{degree} = \frac{10}{9} \, \text{grad}$

Grad to Degree:

- $1 \, \text{grad} = \frac{9}{10} \, \text{degree}$

Degree to Minute:

- $1 \, \text{degree} = 60 \, \text{minutes}$

Minute to Degree:

- $1 \, \text{minute} = \frac{1}{60} \, \text{degree}$

**How to Convert:**Converting angle units using the Angle Unit Converter involves the following steps:

- Select the input angle unit from the dropdown menu.
- Enter the value of the angle you want to convert.
- Choose the output angle unit from the second dropdown menu.
- The converter will instantly display the converted angle value.

**Examples:**Let's explore some practical examples of angle unit conversions:

**Convert 45 degrees to radians:**- Input: Angle = 45°
- Output: $45 \, \text{°} \times \frac{\pi}{180} = 0.7854 \, \text{rad}$

**Convert 2 radians to degrees:**- Input: Angle = 2 rad
- Output: $2 \, \text{rad} \times \frac{180}{\pi} = 114.59 \, \text{°}$

**Convert 180 grads to degrees:**- Input: Angle = 180^g
- Output: $180 \, \text{grad} \times \frac{9}{10} = 162 \, \text{°}$

**Conclusion:**The Angle Unit Converter simplifies angle conversions and facilitates precise calculations in various disciplines. By mastering angle conversions with this tool, you can enhance your efficiency and accuracy in angle-related computations. Experiment with different angle units and conversions to streamline your work and gain deeper insights into angular measurements.

## Popular Angle Converter unit conversions

## Complete list of Angle Converter units for conversion

- degree [°]
- 1 radian [rad] = 57.2957795131 degree [°]

radian [rad] To degree [°], degree [°] To radian [rad] - 1 grad [^g] = 0.9 degree [°]

grad [^g] To degree [°], degree [°] To grad [^g] - 1 minute [‚] = 0.0166666667 degree [°]

minute [‚] To degree [°], degree [°] To minute [‚] - 1 second [„] = 0.0002777778 degree [°]

second [„] To degree [°], degree [°] To second [„] - 1 gon = 0.9 degree [°]

gon To degree [°], degree [°] To gon - 1 sign = 30 degree [°]

sign To degree [°], degree [°] To sign - 1 mil = 0.05625 degree [°]

mil To degree [°], degree [°] To mil - 1 revolution [r] = 360 degree [°]

revolution [r] To degree [°], degree [°] To revolution [r] - 1 circle = 360 degree [°]

circle To degree [°], degree [°] To circle - 1 turn = 360 degree [°]

turn To degree [°], degree [°] To turn - 1 quadrant = 90 degree [°]

quadrant To degree [°], degree [°] To quadrant - 1 right angle = 90 degree [°]

right angle To degree [°], degree [°] To right angle - 1 sextant = 60 degree [°]

sextant To degree [°], degree [°] To sextant