Home » Simplify your calculations with ease. » Mathematical Calculators » Missing Coordinate Calculator Online

Missing Coordinate Calculator Online

Show Your Love:

Geometry and navigation often involve the calculation of missing coordinates, and having an efficient tool for this purpose is invaluable. The Missing Coordinate Calculator serves this exact function, providing a straightforward way to determine the missing coordinates (x3, y3) based on two known coordinates (x1, y1) and (x2, y2) and the distance (d) between them.

In coordinate geometry, the distance between two points is given by the distance formula:

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

To find the missing coordinate (x3, y3), the calculator employs the following formulas:

x3 = (d / sqrt(1 + ((y2 - y1) / (x2 - x1))^2)) + x2, or x3 = (d / sqrt(1 + ((y1 - y2) / (x1 - x2))^2)) + x1

y3 = (d / sqrt(1 + ((x2 - x1) / (y2 - y1))^2)) + y2, or y3 = (d / sqrt(1 + ((x1 - x2) / (y1 - y2))^2)) + y1

These formulas take into account the relative positions of the known points and the distance between them, ensuring accurate results even in complex geometrical configurations.

See also  Sturges Rule Calculator Online

Application and Usage of Missing Coordinate Calculator

The Missing Coordinate Calculator proves essential in various scenarios, such as urban planning, mapping, or even gaming. For instance, determining the location of a point between two known points on a map becomes a quick and precise task with this calculator.

General Terms Table

TermDefinition
CoordinateA set of values (x, y) representing a point in space
Distance Formulad = sqrt((x2 – x1)^2 + (y2 – y1)^2)
Missing CoordinateUnknown point (x3, y3) to be calculated

Example of Missing Coordinate Calculator

Let’s consider a practical example. Given two points (2, 3) and (5, 7), with a distance (d) of 5 units.

  1. Calculate Distance:
    • d = sqrt((5 - 2)^2 + (7 - 3)^2) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5
  2. Calculate x3​:
    • x3 = (5 / sqrt(1 + ((7 - 3) / (5 - 2))^2)) + 5 = (5 / sqrt(1 + (4 / 3)^2)) + 5 = (5 / sqrt(1 + 16/9)) + 5 = (5 / sqrt(25/9)) + 5 = (5 / (5/3)) + 5 = (5 * 3/5) + 5 = 3 + 5 = 8
  3. Calculate y3​:
    • y3 = (5 / sqrt(1 + ((5 - 2) / (7 - 3))^2)) + 7 = (5 / sqrt(1 + (3 / 4)^2)) + 7 = (5 / sqrt(1 + 9/16)) + 7 = (5 / sqrt(25/16)) + 7 = (5 / (5/4)) + 7 = (5 * 4/5) + 7 = 4 + 7 = 11

Most Common FAQs

2. What are the practical uses of finding missing coordinates?

Applications include navigation systems, game development, and any scenario requiring precise location determination.

3. Can the calculator handle decimal or negative values?

Yes, the calculator supports decimal and negative input values, ensuring flexibility in usage.

🚀 Upgrade Your Calculations with AI-Powered Precision!

Solve any problem in a snap with Calculatorshub Ai Calculator.

Discover More

Leave a Comment