# How many radians is 254^o?

Oct 18, 2016

There are 360 ° in a full circle and this is the same $2 \pi$ radians;
i.e  360 ° = 2pi  radians
so it is a simple ratio issue:  1 ° = (2pi)/360  radians
 :. 254 ° = 254 xx (2pi)/360  radians
 :. 254 ° = 127/90pi  radians
 :. 254 ° ~~ 4.433 radians