Distance Calculator

This distance calculator is programmed to calculate the distance between two points with the help of longitude and latitude. You can calculate the distance in miles and kilometers for free.

How to Use this Distance Calculator?

Here’s how you can use our road distance calculator:

• Select the parameter whether Decimal or Degree-minute-second.
• If you have selected Decimal, then input the longitude and latitude of two points.
• But if you have selected Degree-minute-seconds, then enter the degree, minute, and second of longitude and latitude of two points.
• Hit the “Calculate” button.

What Exactly Meant by Distance?

In the context or geography:

“The length, space or numeric description between any two points, lines or in easy words range that tells us how far two objects, points or lines are from each other is called distance.”

Units of Distance:

The SI unit of distance is meter (m). You can calculate distance in different units as follows:

• Centimeter:

  $$ 1\ \text{cm} = \frac{1}{100}\ \text{m} = 0.01\ \text{m} $$

• Thou or mil:

  $$ 1\ \text{mil} = \frac{1}{1000}\ \text{inch} = 0.001\ \text{in} $$

• Line:

  $$ 1\ \text{line} = \frac{1}{12}\ \text{inch} \approx 0.0833\ \text{in} $$

• Inch:

  $$ 1\ \text{inch} = 2.54\ \text{cm} = 0.0254\ \text{m} $$

• Foot:

  $$ 1\ \text{ft} = 12\ \text{inches} = 0.3048\ \text{m} $$

• Mile:

  $$ 1\ \text{mile} = 5280\ \text{ft} \approx 1609.34\ \text{m} $$

• League:

  $$ 1\ \text{league} = 3\ \text{miles} \approx 4828.02\ \text{m} $$

Haversine Formula:

The Haversine formula is used to calculate the great-circle distance between two points on a sphere (e.g., Earth) given their latitudes and longitudes.

Step 1: Calculate "a"

$$ a = \sin^2\left(\frac{\Delta \text{lat}}{2}\right) + \cos(\text{lat}_1) \cdot \cos(\text{lat}_2) \cdot \sin^2\left(\frac{\Delta \text{lon}}{2}\right) $$

Step 2: Calculate "c"

$$ c = 2 \cdot \arctan2\Big(\sqrt{a}, \sqrt{1-a}\Big) $$

Step 3: Calculate Distance "d"

$$ d = R \cdot c $$

Where:

• R = Radius of the Earth
• R = 6,371 km
• R = 3,960.62 miles

Our free online distance finder also uses this formula to calculate distances between places with high accuracy.

If you are traveling, use the gas calculator to find the mileage of the vehicle.

How To Calculate Distance?

Here’s a step-by-step guide to calculate the distance between two points on Earth using the Haversine formula.

Step 1: Convert angles to radians

$$ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} $$

Step 2: Calculate the differences in coordinates

$$ \Delta \text{lon} = \text{lon}_2 - \text{lon}_1 $$

$$ \Delta \text{lat} = \text{lat}_2 - \text{lat}_1 $$

Step 3: Apply the Haversine formula

$$ a = \sin^2\left(\frac{\Delta \text{lat}}{2}\right) + \cos(\text{lat}_1) \cdot \cos(\text{lat}_2) \cdot \sin^2\left(\frac{\Delta \text{lon}}{2}\right) $$

Step 4: Calculate "c"

$$ c = 2 \cdot \arctan2\Big(\sqrt{a}, \sqrt{1-a}\Big) $$

Step 5: Calculate the distance

$$ d = R \cdot c $$

Where R is the radius of the Earth (6,371 km or 3,960.62 miles).

This method allows you to calculate distances between places accurately. You can also use our free online driving distance calculator for convenience.

FAQ’s:

What are some standard units of measurement?

In System International(SI), there are seven basic units which are as follows:

How can I calculate distance from my location?

If you want to adopt manual calculations, you may be subject to the use of haversine formula. But the most accurate and instant method is to use an online distance checker for free.

Conclusion:

Distance can be considered as the most crucial term in the field of geography. This distance calculator is very beneficial for students and for those who are working in a field where there is a need of unit’s conversions. Also, during the navigation process, air traffic controllers make a broad use of flight distance calculator to estimate the distance up to the destination and also fuel cost.

References:

From the source of wikipedia: Physical distances, Theoretical distances, Euclidean space.

From the source of radiopaedia: Angle of the longitudinal arch.