Question

What is the equivalent of pi over 3 radians in degrees?

30 degrees
45 degrees
60 degrees
90 degrees

Answer 1

@Vocaloid

Answer 2

60

Answer 3

@Rainluke01 Please explain how you got your answer.

Answer 4

I went to google and typed pi/3 radians in degrees

Answer 5

and it sent me here https://www.quia.com/jg/321176list.html

Answer 6

Well, we want TGP to be able to do it on her own, in the event of a test for example :)

We have,

\[\frac{ \pi }{ 3 }\]

One radian is equal to

\[\frac{ 180 }{ \pi }\]

Therefore we do

\[\frac{ \pi }{ 3 } \times \frac{ 180 }{ \pi } = 60 degrees\]

Answer 7

The reason you use the value for radians is so you can cancel out pi (or radians) to be left with degrees.

The conversion is real simple as all you have to do is flip pi over 180 to meet each case respectively.

For example, if we wanted to convert 60 degrees back to radians

One degree is equal to

\[\frac{ \pi }{ 180 }\]

So we do,

\[60 \times \frac{ \pi }{ 180 } = \frac{ \pi }{ 3 }\]

Answer 8

Yes thank you