Problem

Convert \(\frac{5\pi}{6}\) radians to degrees.

Answer

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Answer

Simplify: \(x = 150\)

Steps

Step 1 :We know that \(\pi\) radians is equal to 180 degrees. So, we can set up a proportion to find out what \(\frac{5\pi}{6}\) radians is in degrees: \(\frac{x}{\frac{5\pi}{6}} = \frac{180}{\pi}\)

Step 2 :Cross multiply to solve for x: \(x = \frac{180 \cdot \frac{5\pi}{6}}{\pi}\)

Step 3 :Simplify: \(x = 150\)

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