Question

convert each degree measure into radians and each radian measure into degrees.

A)30 degrees
B)-285 degrees
C) 4 pi/3
D)975 degrees
E)-10 degrees

Answer 1

@johnweldon1993

Answer 2

Alright:

To convert from Radians to degrees

\[\large \text{Multiply by} \frac{180}{\pi}\]

To convert from Degrees to Radians

\[\large \text{Multiply by} \frac{\pi}{180}\]

Answer 3

So lets look at examples A and C

A) 30 degrees

\[\large 30^\circ \times \frac{\pi}{180^\circ} = \frac{30^\cancel{\circ} \pi}{180^\cancel{\circ}} = \frac{\pi}{6}\]

Right? Because simplifying the fraction 30/180 we get 1/6 so that would be pi/6

Answer 4

And now C

C) 4pi/3

\[\large \frac{4\pi}{3} \times \frac{180^\circ}{\pi} = \frac{720^\circ\cancel{\pi}}{3\cancel{\pi}} = 240^\circ\]

Answer 5

ok so is that how i do B,D, and E like A

Answer 6

Correct

Answer 7

thanks