Plot the following radian measures on the given unit circle

Question

asked Jun 16, 2019 173k views

2 Answers

Dennis Ward · Answer 1 · 2019-06-16T22:51:46+0000

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

$( 180^\circ)/(\pi)$

$(\pi)/(3) * ( 180^\circ)/(\pi) = 60 ^\circ$

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

$(2\pi)/(3) * ( 180^\circ)/(\pi) = (2)/(3) * 180^\circ = 120^\circ$

That's dot [6]

$(4\pi)/(3) * ( 180^\circ)/(\pi) = (4)/(3) * 180^\circ = 240^\circ$

That's dot [12]

$(5\pi)/(3) * ( 180^\circ)/(\pi) = (5)/(3) * 180^\circ = 300^\circ$

That's dot [14]