Question

convert 250 degrees to radians radians convert \frac{\pi}{9} to degrees degrees give a exact answers, using pi for \pi if needed

Explanation:

Step1: Convert degrees to radians

To convert degrees to radians, use the formula: \( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}\).
For \(250\) degrees: \(250\times\frac{\pi}{180}=\frac{25\pi}{18}\)

Step2: Convert radians to degrees

To convert radians to degrees, use the formula: \( \text{Degrees}=\text{Radians}\times\frac{180}{\pi}\).
For \(\frac{\pi}{9}\) radians: \(\frac{\pi}{9}\times\frac{180}{\pi} = 20\)

Answer:

\(\frac{25\pi}{18}\) radians
\(20\) degrees