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?
Please help. Thanks.
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.
$\displaystyle 2\pi$ radians gives you the same angle as $\displaystyle 360$ degrees, a complete circle.
$\displaystyle 1$ radian gives you the same angle as $\displaystyle 360/(2\pi) \approx 57.296$ degrees.
$\displaystyle 1$ degree gives you the same angle as $\displaystyle 2\pi/360 \approx 0.01745$ radians.
The relationship is independent of sines, cosines or octagons.