Integer math for an integer problem
Consider a variation on Bresenham's circle algorithm for an integer only solution: faster and precise.
Note: Graphics processors use integer math for drawing circles on a screen, not floating point.
1 degree steps?
On high precision monitors, (think 2k * 2k or more) the result may look more circular (not a polygon) with finer steps. Above integer solution provides the best digitized circle.
Not standard C code
Good idea to use the systems best machine π, yet double global_variable = some_function(-1.0) is not valid. I suspect OP is not using a standard C compiler.
Alternative. Since π does not change, let the system derive the best machine π by providing code that the compiler will use even if double is many more than 64-bit.
// const double RADIANS_PER_DEGREE = acos(-1.0) / 180.0; // acos(-1.0) = Pi
const double RADIANS_PER_DEGREE = 3.1415926535897932384626433832795028841971 / 180.0;
Or define it
#ifdef M_PI // some implementation will define this, use if available.
#define MY_PI M_PI
#else
#define MY_PI 3.1415926535897932384626433832795028841971
#endif
const double RADIANS_PER_DEGREE = MY_PI / 180.0;
Pedantically, in rare cases, performing math like MY_PI / 180.0 will not result in the best RADIANS_PER_DEGREE and code could directly use
const double RADIANS_PER_DEGREE = 0.01745329251994329576923690768489;
Manually formatting?
Below hints that OP is not using an auto formatter. Code looks nice. Yet I would rather oblige a SW team to use auto formatting that spend time formatting.
int APIENTRY wWinMain(HINSTANCE hInstance,
HINSTANCE hPrevInstance,
LPWSTR lpCmdLine,
int nCmdShow)
Save time and increase productivity: auto-format.
Comment units
Naked code like const int SLEEP_DURATION = 2500 / 360; lacks units. How long is 2500? 2502500 seconds, 2500 milliseconds? Do not lay the seeds for another big bucks units failure.
// const int SLEEP_DURATION = 2500 / 360;
const int SLEEP_DURATION = 2500 /* ms */ / 360;
Truncated quotient?
Note that 2500 / 360.0 is 6.9444... and 2500 / 360 is 6. Code may want to do things more precisely. At a minimum, consider a rounded quotient.
// const int SLEEP_DURATION = 2500 / 360;
const int SLEEP_DURATION = (2500 + 360/2) / 360;