How do you convert $-33^circ 45'$ from degree to radians?

Question

3058 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T12:41:32

$color(green)(theta = (326(1/4) * 2pi) / 360 = 5.6941^c ~~1.8125pi^c$

radian = (degree / 360) * $2pi$ $= (@ / 360) * 2pi$

Given $theta = -33^@ 45’ = 360^@ - 33^@ 45’ = 326^@ 15’$

$color(red)(theta$ is in fourth quadrant as the angle is between $color(red)(270^@ & 360^@$

Measure of $theta$ in radians

$color(green)(theta = (326(1/4) * 2pi) / 360 = 5.6941^c ~~1.8125pi^c$

Answer 2 · 2018-03-04T12:43:20

$color(green)(theta = 2pi - 0.589 = 5.6941^c ~~ 1.8125pi^c$

Alternate method :

$radian = (degree / 360) *$ 2pi= (@ / 360) * 2pi#

$theta = -(33^@ 45’ * 2pi) / 360 = -0.589^@$

enter image source here

$color(green)(theta = 2pi - 0.589 = 5.6941^c ~~ 1.8125pi^c$

How do you convert -33^circ 45'-33^circ 45' from degree to radians?