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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

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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

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  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



    Answer  :  

    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



    Answer  :  

    Distance = 18.028 units



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