Question

show what you know

order the angle measures from smallest to largest.
use the tools if they help with your thinking.

smallest

\\(\frac{3\pi}{4}\\) radians

\\(\frac{\pi}{3}\\) radians

\\(2\pi\\) radians

\\(45^{\circ}\\)

largest

Explanation:

Convert all angles to degrees

$$
LATEXBLOCK0
$$

Compare and order the values

$$ 45^\circ < 60^\circ < 135^\circ < 360^\circ $$

Map back to original measures

$$ 45^\circ < \frac{\pi}{3}\text{ radians} < \frac{3\pi}{4}\text{ radians} < 2\pi\text{ radians} $$

Answer:

The correct order from smallest to largest is:

1. \(45^\circ\)
2. \(\frac{\pi}{3}\) radians
3. \(\frac{3\pi}{4}\) radians
4. \(2\pi\) radians