Question

convert the following angle from degrees to radians 690

Answer 1

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

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

For 690 degrees:

\[
\text{radians} = 690 \times \frac{\pi}{180}
\]

Now, simplify the fraction:

\[
\frac{690}{180} = \frac{69}{18} = \frac{23}{6}
\]

Now, multiply by \(\pi\):

\[
\text{radians} = \frac{23}{6} \pi
\]

So, 690 degrees is equal to \(\frac{23\pi}{6}\) radians.