# Trying to calculate the angle between two points on a circle?

First and foremost let me say I am an absolutely atrocious at maths, please bear with me.

I'm trying to calculate the angle between two points on a circle, the two points being the distance the user has dragged in a certain amount of time.

This is what I have so far:

``````intervalId = setInterval(function(){

if(p1x != undefined){
p2x = Xpos;

}

if(p1y != undefined){
p2y = Ypos;
}

if( p1x != p2x || p1y != p2y ){

p1a = p1x - wheelMiddleVer;
p1b = p1y - wheelMiddleHor;
a = Math.sqrt((p1a * p1a) + (p1b * p1b));

p2a = p2x - wheelMiddleVer;
p2b = p2y - wheelMiddleHor;
b = Math.sqrt((p2a * p2a) + (p2b * p2b));

u = p1x - p2x;
v = p1y - p2y;
c = Math.sqrt((u * u) + (v * v));

}

p1x = Xpos;
p1y = Ypos;

}, 1000);
``````

I'm not sure how to finish it. I have tried using the cos A = (b^2 + c^2 - a^2)/2bc formula but it's not worked out for me. I will appreciate your input on this. If I can make the question clearer let me know. First of all, keep in mind that most of the languages have an invert Y axis. Meaning the higher the point on the scale -> the smaller it Y value is.

As for your question, you should use arctan:

``````var angle = Math.atan((p1y - p2y) / (p2x - p1x)) * (180 / Math.PI);
`````` First find the difference between the start point and the end point.

``````deltaY = P2_y - P1_y
deltaX = P2_x - P1_x
``````

Then calculate the angle using arctan

``````angleInDegrees = atan2(deltaY ,deltaX) * 180 / PI
``````