I stumbled upon an answer in another Stack Exchange site which is :
$x = cx + r \times \cos a$
$y = cy + r \times \sin a$
With the above example, a degree of 76 would be:
$x = 115 + 110 \times \cos 76$
$y = 115 + 110 \times \sin 76$
Which gives us 205.676, 177.272
I've been wondering why are $x = 205.676$ and $y = 177.272$ ?
Shouldn't those are $x = 141.611$ and $y = 221.732$ ?
One of you is using sine and cosine functions designed for degrees and the other is using functions designed for radians.
If the angle $a= 76$ is being measured in degrees than $141.611$ and $221.732$ are correct results of the calculations. The same angle in radians is about $1.32645$.