# How do you convert -120 degrees to radians?

##### 3 Answers

#### Explanation:

#"to convert from "color(blue)"degrees to radians"#

#color(red)(bar(ul(|color(white)(2/2)color(black)("radian measure"="degree measure "xxpi/(180))color(white)(2/2)|)))#

#"radian "=-cancel(120)^2xxpi/cancel(180)^3=-(2pi)/3#

Using

#### Explanation:

Where N is the constant (i.e. -120 degrees)

Also,

#### Explanation:

**Radian** is a unit for measuring angles using arcs of a circle.

By the Definition of **Radian**, We know,

**The angle subtended at the centre of a circle by the arc equal in length with the radius of the given circle, is called #1# Radian**.

Now, We know,

**In Any Circle, The ratio of the angles subtended at the centre by the various arcs of the circle is equal to the ratio of the lengths of those respective arcs**.

Now, From The Picture,

Now, You got the Conversion Factor.

So,

Hope This Helps.