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Chapter 4: Problem 14

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$18^{\circ}$$

Short Answer

Expert verified
So, \(18^{\circ}\) is equal to \(\frac{\pi}{10}\) radians.

Step by step solution

01

Identify the given angle

The angle given in the problem is \(18^{\circ}\).
02

Use the conversion factor

We know the conversion factor between degrees and radians, which is \(\frac{\pi}{180^{\circ}}\). Multiply the given angle by this conversion factor to convert it into radians.
03

Perform the multiplication

Multiply the given angle \(18^{\circ}\) by the conversion factor from Step 2, which results in \((18 * \frac{\pi}{180})\) radians.
04

Simplify the result

Simplify the resulting expression. \(18 * \frac{\pi}{180}\) simplifies to \(\frac{\pi}{10}\).

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