Question

Plot the following radian measures on the given unit circle

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

By our very goofy system the circle constant $\pi$ denotes half a circle, $180^\circ$. So the conversion factor from radians to degrees is

$\dfrac{ 180^\circ}{\pi}$

$\dfrac{\pi}{3} \times \dfrac{ 180^\circ}{\pi} = 60 ^\circ$

Calling the rightmost dot [1] and counting counterclockwise, that's dot [4].

$\dfrac{2\pi}{3} \times \dfrac{ 180^\circ}{\pi} = \dfrac{2}{3} \times 180^\circ = 120^\circ$

That's dot [6]

$\dfrac{4\pi}{3} \times \dfrac{ 180^\circ}{\pi} = \dfrac{4}{3} \times 180^\circ = 240^\circ$

That's dot [12]

$\dfrac{5\pi}{3} \times \dfrac{ 180^\circ}{\pi} = \dfrac{5}{3} \times 180^\circ = 300^\circ$

That's dot [14]