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Two Dimensional Distance Calculator

2D Distance Calculator
Answer:

d = 26.196374

For:
(X1, Y1) = (-7, -4)
(X2, Y2) = (17, 6.5)


Distance Equation Solution:

\( d = \sqrt {(17 - (-7))^2 + (6.5 - (-4))^2} \)

\( d = \sqrt {(24)^2 + (10.5)^2} \)

\( d = \sqrt {576 + 110.25} \)

\( d = \sqrt 686.25 \)

\( d = 26.196374 \)

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Calculator Use

Calculate the distance between 2 points in 2 dimensional space.

Enter 2 sets of coordinates in the x y-plane of the 2 dimensional Cartesian coordinate system, (X1, Y1) and (X2, Y2), to get the distance formula calculation for the 2 points and calculate distance between the 2 points.

Accepts positive or negative integers and decimals. (6 and/or 6.5)

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

\( d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} \)

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

\( d = \sqrt {(-7 - 5)^2 + (11 - 6)^2} \)

combining terms inside parentheses we get:

\( d = \sqrt {(-12)^2 + (5)^2} \)

squaring both terms we get,

\( d = \sqrt {144 + 25} \)

adding the 2 results,

\( d = \sqrt {169} \)

finally,

\( d = 13 \)


 

Cite this content, page or calculator as:

Furey, Edward "2D Distance Calculator"; from https://www.calculatorsoup.com - Online Calculator Resource.

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