Free online Distance Calculator tool will give the result as distance between the given points. Give 2 input points and hit on the calculate button to get the answer for your input numbers.

**Ex:** 12,14 and 15,17 or 2,3 and 8,9 or 14,11 and 21,25

**Distance Calculator: **Avail this handy calculator tool to find the distance between any two dimensional points easily. Having knowledge on math concepts will make you strong in attempting all board and competitive exams. In the following section, we are providing the step by step procedure to find the distance between two points. We are also giving the solved examples for the better understanding of the concept.

Distance is a number which is used to measure how far objects. Here, you will get the detailed step by step explanation to find the distance between two points in an two dimensional space. Follow these guidelines to get the result without facing any issues.

- Two any two points.
- The formula to find the distance between two points is √[(x
_{2}– x_{1})^{2}+(y_{2}– y_{1})^{2}] - Where (x
_{1}, y_{1}) and (x_{2}, y_{2}) are two points. - Place your values in the above formula.
- Do the further calculations to get the distance.

**Example**

**Question: What is the distance between the points (-2, 5) and (4, -3)?**

**Solution:**

Given points are (-2, 5) and (4, -3)

(x_{1}, y_{1}) = (-2, 5)

(x_{2}, y_{2}) = (4, -3)

x_{1} = -2

y_{1} = 5

x_{2} = 4

y_{2} = -3

Distance d = √[(x_{2} – x_{1})^{2}+(y_{2} – y_{1})^{2}]

= √[(4 - (-2))^{2}+(5 - (-3))^{2}]

= √[(4 + 2)^{2}+(5 + 3)^{2}]

= √[(6)^{2}+(8)^{2}]

= √[36 + 64]

= √[100]

= √[10]^{2}

= 10

Therefore, distance between the given points is 10.

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**1. What is the formula to calculate the distance between two points?**

The formula to calculate the distance between points A (x_{1}, y_{1}), B (x_{2}, y_{2}) is d = √[(x_{2} – x_{1})^{2}+(y_{2} – y_{1})^{2}].

The distance between A (x_{1}, y_{1}, z_{1}), B (x_{2}, y_{2}, z_{2}) in a three dimensional plane is d = √[(x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2} + (z_{2} – z_{1})^{2}]. Where A is the starting point and B is the end point.

**2. How do you define distance between two points?**

Distance between two points involve calculating the length of the line that joins two points. The distance formula is derived by creating a triangle with the help of Pythagoras theorem.

**3. (-3, 2) and (12, 10) are points on opposite ends of the diameter of a circle. What is the radius of the circle?**

x_{1} = -3

y_{1} = 2

x_{2} = 12

y_{2} = 10

Distance = √[(12 - (-3))^{2} + (10 - 2)^{2}]

= √[15^{2} + 8^{2}]

= √[225 + 84] = √[289]

Distance = 17