Radian measure of 240 degree

1 answer

To convert degrees to radians, you can use the conversion factor that \(\pi\) radians is equal to \(180\) degrees.

To convert \(240\) degrees to radians, you can use the formula:

\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

So for \(240\) degrees:

\[ \text{radians} = 240 \times \frac{\pi}{180} = \frac{240\pi}{180} \]

Now, simplify the fraction:

\[ \frac{240\pi}{180} = \frac{4\pi}{3} \]

Thus, \(240\) degrees is equal to \(\frac{4\pi}{3}\) radians.

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