Line Segment Length Calculator

Easily calculate the length of a line segment using the coordinates of two points in a 2D plane. Visualize the segment and get the result instantly.

Enter Coordinates

Input the x and y coordinates for Point 1 (P1) and Point 2 (P2) to calculate the length of the line segment connecting them.

Point 1 (P1)

x1:

y1:

Point 2 (P2)

x2:

y2:

Line Segment Length

Length:

Visualization

Visual representation of the line segment on a 2D coordinate plane.

Understanding Line Segment Length

The length of a line segment between two points $P_1(x_1, y_1)$ and $P_2(x_2, y_2)$ in a Cartesian plane is calculated using the distance formula, derived from the Pythagorean theorem. The formula is:

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

This calculator simplifies finding the distance, which is crucial in geometry, graphics, and various real-world applications like mapping and navigation. Simply input the coordinates, and the tool will handle the calculation and visualization for you.

Example

For points $P_1(1, 2)$ and $P_2(4, 6)$, the length is $ \\sqrt7 = \\sqrt7 = \\sqrt25 = \\sqrt25 = 5 $.