Angle Conversion

The Angle conversion tool includes common Angle units like radian, degree, gradian, arcminute, arcsecond.

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About Angle Conversion

The angle conversion feature is a useful tool that helps us convert between different angle units. An angle is a measure of the relative position or rotation of objects, and common angle units include degrees, radians, and gradians, among others. With the angle conversion feature, we can easily and accurately convert between these units.

Here are some examples to illustrate the applications of the angle conversion feature:

Circular Motion: You're studying a physics problem involving circular motion, and the angle unit in the problem is degrees. However, in some mathematical formulas, angles are measured in radians. By using the angle conversion feature, you can convert the angle from degrees to radians and use the correct unit in mathematical formulas.

GPS Navigation: You're using a GPS navigation system for navigation, and the direction angle on the navigation device is given in degrees. However, in some applications, direction angles may be measured in gradians. By using the angle conversion feature, you can convert the direction angle from degrees to gradians to accurately represent direction in different applications.

Engineering Design: You're working on an engineering project that requires consideration of angles between objects. In some engineering calculations, angles may be measured in radians. By using the angle conversion feature, you can convert the angle from degrees to radians to use the correct unit in engineering design and calculations.

Astronomical Observations: You're interested in astronomy, and the commonly used angle unit in astronomy is radians. However, in some astronomical observation reports, angles may be given in degrees. By using the angle conversion feature, you can convert the angle from degrees to radians to better understand astronomical observation results.


Degree (°): The degree is a unit of measurement for angles. A complete circle is divided into 360 degrees, where each degree represents 1/360th of a full rotation.

Radian (rad): The radian is a unit of measurement for angles based on the radius of a circle. It is defined as the angle subtended by an arc of length equal to the radius of the circle. A full circle is equal to 2π radians, where π (pi) is a mathematical constant approximately equal to 3.14159.

Gradian (grad): The gradian, also known as the gon, is a unit of measurement for angles. A complete circle is divided into 400 gradians, where each gradian represents 1/400th of a full rotation. The gradian is primarily used in some engineering and surveying applications.

Minute ('): The minute is a unit of measurement for angles, divided into 60 equal parts. Each minute is equal to 1/60th of a degree or 1/21,600th of a full rotation. Minutes are often used for precise measurements or coordinates in navigation and astronomy.

Second ("): The second is another unit of measurement for angles, further divided into 60 equal parts. Each second is equal to 1/60th of a minute, 1/3,600th of a degree, or 1/1,296,000th of a full rotation. Seconds are commonly used for fine measurements or precise calculations in various scientific and engineering fields.

When converting between angle units, you can use appropriate conversion formulas or factors specific to the units being converted. It is important to be aware of the specific conventions and applications of angle units when performing conversions.