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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