Question

radian measure of the angle 240

Answer 1

To convert degrees to radians, you can use the formula:

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

For an angle of 240 degrees, the conversion to radians would be:

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

Now, simplify the fraction:

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

Thus, the radian measure of the angle \(240^\circ\) is:

\[
\frac{4\pi}{3}
\]

So, \(240^\circ\) is equal to \(\frac{4\pi}{3}\) radians.