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Distance between points calculation

11 May 2024

Tags: N/A Engineering Mathematics Coordinate Systems Distance between points calculation

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Distance between Points Calculator

This calculator provides the calculation of distance between two points in the Cartesian coordinate system.

Explanation

Calculation Example: The distance between two points in the Cartesian coordinate system is given by the formula D = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Q: What is the significance of the distance formula in geometry?

A: The distance formula is a fundamental formula in geometry that allows us to calculate the distance between two points in a coordinate system. It is used in various applications, such as finding the length of a line segment, determining the area of a triangle, and solving geometry problems.

Q: How is the distance formula applied in real-life scenarios?

A: The distance formula has numerous practical applications in various fields. For example, it is used in navigation systems to calculate the distance between two locations, in architecture to determine the dimensions of a building, and in surveying to measure distances between landmarks.

Variables

Symbol Name Unit
x1 X-coordinate of Point 1 m
y1 Y-coordinate of Point 1 m
x2 X-coordinate of Point 2 m
y2 Y-coordinate of Point 2 m

Calculation Expression

Distance Formula: The distance between the two points is given by D = sqrt((x2 - x1)^2 + (y2 - y1)^2)

sqrt((x2 - x1)^2 + (y2 - y1)^2)

Calculated values

Considering these as variable values: y1=3.0, x1=2.0, y2=6.0, x2=5.0, the calculated value(s) are given in table below

Derived Variable Value
Distance Formula 4.24264

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