Questions: Convert the angle below into degrees, 7π/18

Convert the angle below into degrees,
7π/18
Transcript text: Convert the angle below into degrees, \[ \frac{7 \pi}{18} \]
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Solution

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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}\\).

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