OpenStudy (anonymous):

What are the pro and cons of working in degrees. What about Radians? (List sources if you can) What's your personal opinion? Thanks!

3 years ago
OpenStudy (tkhunny):

There is only one pro for degrees. Familiarity.

3 years ago
OpenStudy (aravindg):

Measures in radians help you directly relate arc length and radius in a circle.

3 years ago
OpenStudy (accessdenied):

The 'special' angles in degrees are integers. 30-60-90, 45-45-90 triangles for example. In radians, they are fractions: pi/6-pi/3-pi/2, pi/4-pi/4-pi/2. Depending on which you work better with would be a pro for that side. If you are getting into Calculus as well, measuring the variable in radians over degrees gives us the most convenient derivative/integral formula for sine, cosine, etc. d/dx (sin x) = cos x, no extra coefficients.

3 years ago
OpenStudy (wwe123):

Pros of degrees - whole number of them in a circle, plus that number, 360, is highly divisible. Has long-standing astronomical physical basis. Pros of radians - simple to work out lengths of arcs and areas of sectors (and hence segments) from the radius of the circle. Even better, enables trigonometric calculus without fiddly correction factors of 180/pi coming in everywhere!

3 years ago