Whether you’re working on geometry homework, planning a route, or solving engineering problems, this distance formula calculator provides instant, accurate results. Simply enter your coordinates and let the calculator do the math for you.
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What is the Distance Formula?
The distance formula is a mathematical equation derived from the Pythagorean theorem that calculates the straight-line distance between two points in a coordinate system. This distance formula calculator uses the coordinates of two points—(x₁, y₁) and (x₂, y₂)—to determine how far apart they are. The formula works by finding the horizontal distance (difference in x-coordinates) and vertical distance (difference in y-coordinates), then combining them to calculate the total distance.
The Distance Formula
The distance formula is written as:
d = √[(x₂ – x₁)² + (y₂ – y₁)²]
Where:
- d = distance between the two points
- (x₁, y₁) = coordinates of the first point
- (x₂, y₂) = coordinates of the second point
This distance formula calculator applies this equation automatically, eliminating the need for manual calculations and reducing the chance of errors.
Distance Calculator
Straight-line distance between two points (x, y).
Ready to Calculate
Enter coordinates and click calculate to see the work.
Distance Formula Example
Let’s use the distance formula calculator to find the distance between two points: (3, 4) and (7, 1).
Using the formula:
- x₁ = 3, y₁ = 4
- x₂ = 7, y₂ = 1
d = √[(7 – 3)² + (1 – 4)²] d = √[(4)² + (-3)²] d = √[16 + 9] d = √25 d = 5
The distance between points (3, 4) and (7, 1) is 5 units. With our distance formula calculator, you can solve problems like this in seconds without working through each step manually.
