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

Asked by maham237 @ 16/12/2020 in Mathematics viewed by 295 People

Answered by maham237 @ 16/12/2020

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

$2\pi =360^{\circ};$
$\pi=180^{\circ};$
$\dfrac{\pi}{4}=45^{\circ};$
$\dfrac{7\pi}{6}=210^{\circ}.$

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

$38^{\circ}, 45^{\circ}, 80^{\circ}, 210^{\circ}, 360^{\circ}$

that is

$38^{\circ}, \dfrac{\pi}{4}, 80^{\circ}, \dfrac{7\pi}{6}, 2\pi.$

Answer: correct choice is C

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