Question

Q.4) Find the measure of angle 120° in radian measure.​

Answer 1

Answer:

ur ans is b

Step-by-step explanation:

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.

Answer 2

Answer:

2π/3 radians

Step-by-step explanation:

180° = π radians

=> 1° = (π/180) radians

for 120°

120° = 120×(π/180) radians

so,

120 ° = 2π/3 radians

hope it will help...