Calculating the distance between two points in the coordinate system
On this page the distance between two points in the coordinate system is calculated. To do this, enter the X / Y coordinates of the two points A and B. It doesn't matter which point is first and which is second. The result will be the same.
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To find the distance between two points, use the distance formula. In the formula, x and y stand for the position on a coordinate plane.
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
In the graphic above, the two elements a and b form the legs of a right triangle. The following Pythagorean theorem can therefore be used to calculate the distance c.
\( \displaystyle c=\sqrt{a^2 + b^2}\)
The values for a and b are calculated from the distance between the x and y coordinates
\(\displaystyle a=y_2-y_1\)
\(\displaystyle b= x_2-x_1\)
If that is summed up in one formula, the distance formula above results for calculating the distance between the points.
\(\displaystyle α=asin\left(\frac{a}{c}\right) \) \(\displaystyle = asin\left(\frac{y_2-y_1}{\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}}\right)\)
\(\displaystyle α=acos\left(\frac{b}{c}\right) \) \(\displaystyle = acos\left(\frac{x_2-x_1}{\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}}\right)\)
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