How do you find the degree measure of an angle of 3/5 radians?

Question

8402 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-27T09:16:26

$3/5$ radian is $34.38^@$ or $34^@22'48''$

We know that $pi$ radian is $180^@$

Hence $1$ radian is $(180/pi)^@$

and $3/5$ radian is $(180/pi)^@xx3/5=(108/pi)^@$

= $(108/3.1416)^@=34.38^@$

As $1^@=60'$ and $1"=60''$ ,

we have $0.38^@xx60=22.8'=22'48''$

Hence $3/5$ radian is $34.38^@$ or $34^@22'48''$