Question

convert the angle measures to degrees

1. pi/6
2. 3pi/5

Answer 1

The conversion between degrees and radians (and vice-versa) is\[180 \text{ deg}=\pi\text{ rad}\]
What happens you divide both sides by 6, for the first question?

Answer 2

do the opposite of the other problems
multiply by
\[\frac{180 º}{\pi \text{ radians}} \]

Answer 3

notice you can cancel the pi right away
\[ \frac{\cancel{\pi}}{6} \cdot \frac{180}{\cancel{\pi}} = \frac{180}{6}\]

Answer 4

the way to remember what to multiply is write down the units:
\[ \frac{\pi \text{ radians}} {6} \]
if you want degrees, they you want to multiply by degrees over radians , so you know you want to use
\[ \frac{\pi \text{ radians}} {6} \cdot \frac{180 \text{ degrees}}{\pi \text{ radians}} \]
because the radians will cancel
\[ \frac{\cancel{\pi \text{ radians}}} {6} \cdot \frac{180 \text{ degrees}}{\cancel{\pi \text{ radians}}} \]

Answer 5

@phi is that for pi/6?

Answer 6

π/6 x 180/ π = 180/6 is that the answer for pi/6 or does it continue into the next post you wrote?

Answer 7

@phi

Answer 8

I only did pi/6. of course 180/6 simplifies to 30 degrees, right ?

Answer 9

yes, so in that case is 30 the final answer? sorry i have to post this and then go over the answer

Answer 10

yes. People sometimes memorize pi/6 rads is 30º

Answer 11

thanks so much :) so pi/6=30 degrees?

Answer 12

really appreciate it youre great at this! :)

Answer 13

did you get the answer to the 2nd problem ?

Answer 14

ive gotta go now but ill type it here later and maybe u can check it if u get a chance :) thanks once again!!