Question

assignment 7.1: angles
score: 9/27 answered: 5/13
question 6
convert 250 degrees to radians
radians
convert \\( \frac { 7 \pi } { 18 } \\) to degrees
degrees
give a exact answers, using pi for \\( \pi \\) if needed
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Explanation:

Step1: Convert degrees to radians

To convert degrees to radians, use the formula \( \text{radians}=\frac{\pi}{180}\times\text{degrees} \).
For \( 250^{\circ} \), we have \( \frac{\pi}{180}\times250=\frac{25\pi}{18} \) radians.

Step2: Convert radians to degrees

To convert radians to degrees, use the formula \( \text{degrees}=\frac{180}{\pi}\times\text{radians} \).
For \( \frac{7\pi}{18} \) radians, we have \( \frac{180}{\pi}\times\frac{7\pi}{18}=70^{\circ} \).

Answer:

\(\frac{25\pi}{18}\) radians, \(70\) degrees