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To find the correct order from least to greatest measures, you have to note that

  • [tex]2\pi =360^{\circ};[/tex]
  • [tex]\pi=180^{\circ};[/tex]
  • [tex]\dfrac{\pi}{4}=45^{\circ};[/tex]
  • [tex]\dfrac{7\pi}{6}=210^{\circ}.[/tex]

Now you have to arrange measures of the angles [tex]2\pi=360^{\circ}, \dfrac{7\pi}{6}=210^{\circ},80^{\circ},\dfrac{\pi}{4}=45^{\circ},38^{\circ}[/tex] in ascending order:

[tex]38^{\circ}, 45^{\circ}, 80^{\circ}, 210^{\circ}, 360^{\circ}[/tex]

that is

[tex]38^{\circ}, \dfrac{\pi}{4}, 80^{\circ}, \dfrac{7\pi}{6}, 2\pi.[/tex]

Answer: correct choice is C

The correct order from least to greatest is [tex]\rm 38 \ degrees, \ \dfrac{\pi }{4}, \ 80 \ degrees , \dfrac{7\pi }{6}, 2\pi[/tex].

We have to determine

Which of the following are in the correct order from least to greatest?

How to determine the correct order from least to greatest?

To determine the correct order from least to greatest arrange the given values in ascending order.

Therefore,

The correct order from least to greatest is;

[tex]\rm 2\pi = 360 \degrees\\\\\pi =180 \ degrees\\\\\dfrac{\pi }{4} = 45 \ degrees\\\\\dfrac{7\pi }{6}=210 \ degrees[/tex]

Hence, the correct order from least to greatest is [tex]\rm 38 \ degrees, \ \dfrac{\pi }{4}, \ 80 \ degrees , \dfrac{7\pi }{6}, 2\pi[/tex].

To know more about Ascending order click the link given below.

https://brainly.com/question/320500

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