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# Distance between Two Points Calculator

Put values in input box to calculate (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} by using our distance between two points calculator.

Table of Contents:

## Distance between two points Formula

**Distance between two points:**

√(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}

Distance, in other words is termed as farness. In simple terms, distance is a measure of the interval between two locations. Distance between two points is the measurement of the distance between two points of the xy-plane can be calculated by the given co-ordinates on the plane x and y.

**Examples:**

Find the distance between the points (-1, 1), (-2, 2).

x1 = -1, y1 = 1 and

x2 = -2, y2 = 2

**Apply Formula and substitute the values:**

√(x2-x1)^{2} + (y2-y1)^{2}

= √(-2- (1))^{2} + (2-1)^{2}

=√(-2+1)^{2}+(1)^{2}

=√(-1)^{2}+(1)^{2}

=√1+1

=√2

Distance = **1.414**

**what is the distance between (4 7) and (2 2)**

Distance = **5.385**

*what is the distance between (–2 and one-half, –3) and (1, –3)?*

Answer = **3.5**

*find the distance between the points (1, 2) and (4, 3).*

Answer = **3.162**

*find the distance between the points (-2, 4) and (4, -6).*

Answer = **11.662**

**References: **

- Distance between two points and the midpoint (Algebra 2, Conic Sections) – Mathplanet.
- Stapel, E. The Distance Formula | Purplemath.