Convert 72 degrees to radians

Answer 1

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

\[ \text{radians} = \text{degrees} \times \left(\frac{\pi}{180}\right) \]

For 72 degrees:

\[ \text{radians} = 72 \times \left(\frac{\pi}{180}\right) = 72 \times \frac{\pi}{180} = \frac{72\pi}{180} \]

Now, simplify \(\frac{72}{180}\):

\[ \frac{72}{180} = \frac{2}{5} \]

Therefore:

\[ \text{radians} = \frac{2\pi}{5} \]

So, 72 degrees is equal to \(\frac{2\pi}{5}\) radians.