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How do you convert 120 degrees into radians?

Answer
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Hint: In order to convert the degree measure into radian measure, multiply the given degree measure with (π180) radians to get the required result. Radian describes the plane angle subtended by a circular arc, as the length of the arc divided by the radius of the arc. One radian is the angle subtended at the centre of a circle by an arc that is equal in length to the radius of the circle.

Complete step by step solution:
The measure of an angle is controlled by the measure of pivot from the underlying side to the terminal side. In radians, one complete counter clockwise upheaval is 2π and in degrees, one complete counterclockwise upset is 360. Along these lines, degree measure and radian measure are connected by the condition:
360=2π radians
The above condition can also be simplified as follows:
180=π radians
So, we get the condition 1=(π180) radians. This leads us to the standard to change over degree measure to radian measure. To change over from degree to radian, multiply the degree measure by (π180) radians.
So, in the question we are given 120 degrees.
1=(π180) radians
Multiplying both sides of the equation with 120.
120=(π180)×120 radians
So, 120=(2π3) radians.
Therefore, 120 degrees equal to (2π3) radians.

Note: The radian, indicated by the symbol rad, is the SI unit for measuring angles, and is the standard unit of angle measure utilized in numerous zones of arithmetic. The length of an arc of a unit circle is mathematically equivalent to the measurement in radians of the angle that it subtends; one radian is (180π) degrees. The radian is characterized in the SI similar to a dimensionless value
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