Quick Homework Help

# convert to degrees : 1.2 radians  ⚑ Flag

by kerriann001 at February 14, 2011

Kerriann -Thinking of an angle as "radians" may seem weird at first, but the more you use it the more comfortable you will get.Instead of defining θ as degrees, you can also define it by the "length of the arc" formed by θ.  If θ spans half a circle, then it equals 180 degrees, agree? θ also equals the length of the arc of that semicircle or π radians.  So every 180 degrees is exactly the same as an arc length of π radians or approximately 3.14 radians.Now to your problem.  If the arc length equals 1.2 radians, then θ is certainly less than 180 degrees since we just said it takes 3.14 radians to equal 180 degrees.  So, to figure out how many degrees 1.2 radians is, just take the ratio of 1.2 to 3.14 and multiply that fraction times 180:Hope that helps

Steve204 February 14, 2011

Huiho February 14, 2011

68.754935

baseball February 14, 2011

68.754935

baseball February 14, 2011

I learned this from my teacher a year back, and basically what you do is this: when you convert degrees to radians, you multiply the number you're converting by pi/180when you're converting radians to degrees, you multiply 180/pi.It's plug and chug from here

Gentou February 14, 2011