Questions: Convert the angle below into degrees,
7π/18
Transcript text: Convert the angle below into degrees,
\[
\frac{7 \pi}{18}
\]
Solution
Solution Steps
Step 1: Convert Radians to Degrees
To convert the angle \( \frac{7 \pi}{18} \) from radians to degrees, we use the conversion formula:
\[
\text{Degrees} = \text{Radians} \times \frac{180}{\pi}
\]
Substituting the given angle:
\[
\text{Degrees} = \frac{7 \pi}{18} \times \frac{180}{\pi}
\]
Step 2: Simplify the Expression
The \( \pi \) in the numerator and denominator cancels out:
\[
\text{Degrees} = \frac{7 \times 180}{18}
\]
This simplifies to:
\[
\text{Degrees} = 7 \times 10 = 70
\]
Final Answer
The angle \( \frac{7 \pi}{18} \) in degrees is \\(\boxed{70}\\).