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Chapter 4: Problem 43

Convert the angle measure from radians to degrees. Round to three decimal places. $$\frac{5 \pi}{11}$$

Short Answer

Expert verified
The angle measure in degrees is 81.818.

Step by step solution

01

Understand the Conversion Formula

Firstly, understand the formula which is used to convert radians to degrees. The formula is Degrees = Radians * \( \frac{180}{\pi} \). In this formula, replace the Radians with the given radian measure which is \( \frac{5 \pi}{11} \).
02

Apply the Conversion Formula

Plug in the radian measure into the conversion formula: Degrees = \( \frac{5 \pi}{11} \) * \( \frac{180}{\pi} \). Now, simplify this equation.
03

Simplify the Equation

Upon simplification, the \( \pi \) in the numerator and denominator will cancel out and you will get: Degrees = \( \frac{5*180}{11} \) = 81.81818182 degrees approximately.
04

Round to Three Decimal Places

The last step is to round this result to three decimal places. So, the final answer after rounding would be 81.818 degrees.

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