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Chapter 4: Problem 22

Convert each angle in radians to degrees. $$\frac{\pi}{9}$$

Short Answer

Expert verified
The angle \(\frac{\pi}{9}\) radians equals to 20 degrees.

Step by step solution

01

Understanding the Exercise

The exercise is to convert the angle \(\frac{\pi}{9}\) radians into degrees. The common conversion factor is \(180^\circ/\pi\) radians. This implies that \(\pi\) radians equals \(180^\circ\). It is important to understand what 'radian' and 'degree' are as units of angle. This conversion is necessary in various mathematical and physical computations.
02

Conversion Process

To convert radians to degrees, multiply the radians by the conversion factor. This implies: \(\frac{\pi}{9}\) radians * \(180^\circ/\pi\) radians. Here the \(\pi\) gets cancelled out.
03

Calculation

After cancelling the \(\pi\) out from the equation we get \(\frac{180}{9} = 20^\circ\)

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