# Angles

**Angle** is the **measure of rotation** formed between two rays. In trigonometry, angles play a huge role in determining the appropriate trigonometric function values. **One complete rotation gives an angle of** **360°**. Depending on the direction of rotation, angles can be positive or negative!

**Units of Angle: **Angle is either measured in **degrees **or in **radians. **

**Radian: **It is the standard unit to measure an angle and is numerically equal to the length of its respective arc of a unit circle.

**Conversion of degree to radian: **There is a simple relationship between degrees and radians.

**Π radians = 180°**

So **1radian=180°/Π** (OR) **1degree=π/180°**

**Example: **Convert 120° to radian.

120°* (π /180°) = **2π/3 radian**

**Example: **Convert π/6 radian to degrees.

Π * 180° **= 30°**

6 π

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