how do you calculate the angle between two points?

Calculating the angle between two points can be a tricky concept, but once you understand the basics, it's really quite straightforward. The angle between two points is the measure of how far apart two points are from each other and is defined mathematically as the arc length between those two points along a curve. This article will explain how to calculate the angle between two points (also known as an arc), using trigonometry and cartesian coordinates.

To begin, let's answer the question "what is an arc?" An arc is a segment of a circle defined by two endpoints and a radius. Therefore, if you know the coordinates of each of your points, you can use trigonometry to find what angle they form - basically it's just like finding an angle in triangle. Once you have your coordinates, draw a right angled triangle (which will have one corner at each point) and then use trigonometric identities such as SOH CAH TOA to solve for the other sides or angles of your triangle (making sure to label it correctly).

Once you have your triangle formed and labeled correctly, you can use basic geometry to find out what angle between your two points would be. To do this, simply subtract one side from another side with same endpoints (e.g., subtract AC from AB). This final answer will be the measure of your arc or, more specifically, the angle formed by your two unique points.

This process for calculating arcs should now make sense but here's an example just in case: let's say we want to find out what angle forms around point A(2,3) and point B(5,1). First we need to draw our right angled triangle using our coordinates and label it correctly; let's call it ABC with point A at the origin and B being equal 1 unit away from A on x-axis: ABC = 2x3 + 5x1 = 10 units

Now we can use SOH CAH TOA to solve for x in our equation – x = opposite/hypotenuse; thus x = 3/10 = 0.3 So now that we know that x = 0.3 then by using basic geometry again; we can subtract AC from AB which would give us our final answer of 0.2 radians or 11 degrees – thus giving us our final measurement for how big of an arc exists between our two specific points!