Angle Converter tool
Angle Unit Converter Tool
An Angle Unit Converter Tool is essential for converting between various units of angle measurement, such as degrees, radians, and gradians. This tool simplifies calculations, making it easier for engineers, scientists, and students to work with different angle units seamlessly. Whether you're working on a complex engineering project or a simple math problem, this converter ensures accuracy and efficiency.
In geometry, angle measurement units are used to quantify the size of an angle, which is the space between two intersecting lines or rays. The most common units of angular measurement are:

Degrees (°):
 The degree is the most widely used unit for measuring angles. One complete revolution (a full circle) is divided into 360 degrees. Each degree can be further subdivided into 60 minutes (') and each minute into 60 seconds (").
 For example, an angle of 45° means the angle is 45 out of 360 parts of a circle.

Radians (rad):
 The radian is the standard unit of angular measurement in mathematics and is used primarily in trigonometry and calculus. One radian is the angle created when the arc length of a circle equals the radius of the circle. There are 2π radians in a full circle, which is approximately 6.283 radians.
 A key conversion is that 180° equals π radians. So, 1 radian is approximately 57.3°.

Gradians (gon or grad):
 The gradian, also known as a gon or grade, is less commonly used but divides a circle into 400 parts. In this system, a right angle is 100 gradians. This unit is sometimes used in surveying and engineering.
 One grad equals 0.9 degrees.

Turns (or revolutions):
 A turn measures angles in terms of how many complete revolutions a point or line makes. One complete revolution is equal to 360 degrees or 2π radians.
 This unit is useful in certain applications such as mechanical engineering and robotics.
These units are used depending on the field and context, with degrees being most common in everyday use, radians in higher mathematics, and gradians in specific technical fields.
Conversion table for angles:
Degrees (°)  Radians (rad)  Gradians (gon)  Turns (revolutions) 

0.1°  0.00175 rad  0.111 gon  0.00028 turns 
1°  0.01745 rad  1 gon  0.00278 turns 
5°  0.08727 rad  5 gon  0.01389 turns 
10°  0.17453 rad  10 gon  0.02778 turns 
15°  0.26180 rad  15 gon  0.04167 turns 
30°  0.52360 rad  30 gon  0.08333 turns 
45°  0.78540 rad  40 gon  0.125 turns 
60°  1.04720 rad  50 gon  0.16667 turns 
90°  1.57080 rad  100 gon  0.250 turns 
120°  2.09440 rad  150 gon  0.33333 turns 
180°  π rad ≈ 3.14159 rad  200 gon  0.500 turns 
270°  4.71239 rad  300 gon  0.750 turns 
360°  2π rad ≈ 6.28319 rad  400 gon  1 turn 
540°  3π rad ≈ 9.42478 rad  600 gon  1.5 turns 
720°  4π rad ≈ 12.56637 rad  800 gon  2 turns 
Key Conversion Formulas:
 Degrees to Radians: radians = degrees × (π / 180)
 Radians to Degrees: degrees = radians × (180 / π)
 Degrees to Gradians: gradians = degrees × (10 / 9)
 Gradians to Degrees: degrees = gradians × (9 / 10)
 Degrees to Turns: turns = degrees × (1 / 360)
 Turns to Degrees: degrees = turns × 360
This table covers a range of angles for each unit and should be helpful for various calculations and conversions.