# Question about converting sine in degrees to radians

• June 10th 2012, 04:58 AM
timetraveler622
Question about converting sine in degrees to radians
Is the formula to convert degrees to radians (number * pi/180) the same for all shapes; for example if I wanted to find the sine of an octagon would I do number* pi/1080?

• June 10th 2012, 06:43 AM
BobP
Re: Question about converting sine in degrees to radians
Radians and degrees are simply two different units of measurement for an angle, like for example metres and feet are two different units of length or gallons and litres are two different units of volume.

$2\pi$ radians gives you the same angle as $360$ degrees, a complete circle.

$1$ radian gives you the same angle as $360/(2\pi) \approx 57.296$ degrees.

$1$ degree gives you the same angle as $2\pi/360 \approx 0.01745$ radians.

The relationship is independent of sines, cosines or octagons.