Serial Monitor Not Printing Accurate After Decimal

Projects Programming
1

I am a fairly new to Arduino, So I apologize if this is a dumb question.
Anyway, perhaps this is a limitation of programming, but printing pi using the variable pi and Arduino's PI with the following code:

float pi=3.141592653589;
void setup() {
Serial.begin(9600);
Serial.println(pi,10);
Serial.println(PI,10);
}
void loop() {}

yields both:

3.1415927410
3.1415927410

on the serial monitor.

These are obviously wrong after some digits. Is this just the serial monitor? Or is it wrong also when I do calculations with it? (I need very high precision calculations). I don't care about printing the result of my calculations, but I do need it to be as accurate as possible.

Thanks a bunch.

2

Look here to see the maximum precision of a float variable: https://www.arduino.cc/en/Reference/Float. What precision do you require.

3

And if you need more detail then take a look at Home • Department of Mathematics • Iowa State University .