Respuesta :

Given angles:

[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]

To order the angles from least to greatest:

The value of π = 180°

[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]

[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]

[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]

[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]

Order from least to greatest:

60° < 135° < 180° < 360° < 420°

Now write using π:

[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]