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Chapter 4: Problem 26

Convert each angle in radians to degrees. $$\frac{11 \pi}{6}$$

Short Answer

Expert verified
The given angle in degrees is \(330^\circ\)

Step by step solution

01

Identify the given angle

The angle given is \( \frac{11 \pi}{6} \) radians
02

Apply Conversion Formula

Apply the conversion formula: \( \text{degree} = \text{radian} \times \frac{180^\circ}{\pi} \). So, the angle in degrees will be \( \frac{11 \pi}{6} \times \frac{180^\circ}{\pi} \)
03

Simplify the equation

Simplify the equation by cancelling out \(\pi\) from the numerators and the denominators, giving you the equation \( \frac{11 \times 180}{6} \)
04

Solve the equation

Solve the equation \( \frac{11 \times 180}{6} \) to get the value in degrees

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