Distance Between Two Points
This calculator helps you find the distance between any two points (x₁, y₁) and (x₂, y₂) on a 2D coordinate plane. Simply enter the coordinates, and we'll apply the distance formula for you.
Enter the x-coordinate of the first point.
Enter the y-coordinate of the first point.
Enter the x-coordinate of the second point.
Enter the y-coordinate of the second point.
This calculator helps you find the distance between any two points (x₁, y₁) and (x₂, y₂) on a 2D coordinate plane. Simply enter the coordinates, and we'll apply the distance formula for you.
The distance 'd' between two points (x₁, y₁) and (x₂, y₂) is given by: d = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's find the distance between Point A (1, 2) and Point B (4, 6). x₁ = 1, y₁ = 2 x₂ = 4, y₂ = 6 d = √((4 - 1)² + (6 - 2)²) d = √((3)² + (4)²) d = √(9 + 16) d = √(25) d = 5 The distance between (1, 2) and (4, 6) is 5 units.
The distance formula is used to find the length of the line segment connecting two points in a coordinate plane. It's derived from the Pythagorean theorem and states that d = √((x₂ - x₁)² + (y₂ - y₁)²).
Imagine the two points and the distance between them forming the hypotenuse of a right-angled triangle. The horizontal distance (x₂ - x₁) is one leg, and the vertical distance (y₂ - y₁) is the other leg. The distance formula is simply a rearrangement of a² + b² = c².
No, this specific calculator is designed for two-dimensional (x, y) coordinates only. For 3D points, the formula would extend to include a z-coordinate: d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²).
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