Question

convert the angle $\frac{7\pi}{6}$ radians to degrees.
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Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For the angle \(\frac{7\pi}{6}\) radians, substitute into the formula: \(\frac{7\pi}{6}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

Cancel out the \(\pi\) terms: \(\frac{7}{6}\times180^{\circ}\).
Then calculate \(\frac{7\times180^{\circ}}{6}\). Since \(180\div6 = 30\), we have \(7\times30^{\circ}=210^{\circ}\).

Answer:

\(210\)