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Distance Formula Calculator
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 Distance Formula Calculator will calculate the distance between two points on the Cartesian plane.

Steps for Calculating Distance Between Two Coordinates

Step 1 :

Use the formula: Distance between two points A ($x_{1}$, $y_{1}$) and B ($x_{2}$, $y_{2}$) = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

Step 2 :

Plug in the values in the above formula and solve it further to find the distance between two points.

Example Problems on Distance Formula Calculator

1. Find the distance between the coordinates (4, 2) and (8, 3)?

Step 1 :

Substitute the given values in the formula:
Distance between two points = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$
Distance between two points = $\sqrt{(8 - 4)^{2} + (3 - 2)^{2}}$
Distance between two points = $\sqrt{(4)^{2} + (1)^{2}}$
Distance between two points = $\sqrt{17}$
Distance between two points = 4.123

Distance = 4.123 units

2. Find the distance between the coordinates (-2, 6) and (8, -9)?

Step 1 :

Given that: ($x_{1}$, $y_{1}$) = (-2, 6) and  ($x_{2}$, $y_{2}$) = (8, -9)
Distance between two points = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

Step 2 :

Substitute the given values in the formula:
Distance between two points = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$
Distance between two points = $\sqrt{(8 + 2)^{2} + (-9 - 6)^{2}}$
Distance between two points = $\sqrt{(10)^{2} + (-15)^{2}}$
Distance between two points = $\sqrt{325}$
Distance between two points = 18.028