Distance Calculator
Input the coordinates of any two points to instantly calculate the distance between them.
Calculate the Distance between Two Points
Distance
What Is Distance?
In geometry, the distance between two points is the length of the shortest straight line connecting them. For two points with coordinates \( (x_1, y_1) \) and \( (x_2, y_2) \), the distance is calculated using the Euclidean distance formula.
How to Calculate Distance
Given two points \( (x_1, y_1) \) and \( (x_2, y_2) \), the distance \( d \) is computed using this formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Examples
Example 1: Given two points \( A(2, 3) \) and \( B(8, 7) \), find the distance between them.
Solution:
\( d = \sqrt{(8 - 2)^2 + (7 - 3)^2} = \sqrt{36 + 16} = \sqrt{52} \approx 7.21 \)
Result: The distance is approximately 7.21
Example 2: Given two points \( C(-4, 6) \) and \( D(10, -2) \), find the distance between them.
Solution:
\( d = \sqrt{(10 - (-4))^2 + (-2 - 6)^2} = \sqrt{196 + 64} = \sqrt{260} \approx 16.12 \)
Result: The distance is approximately 16.12