Haversine formula

The haversine formula is a way to find the distance between two points on the surface of a sphere, like the Earth. Imagine you have two dots on a beach ball and you want to know how far apart they are. You can't just measure the straight line distance between them because the ball is curved.

The haversine formula uses some fancy math to calculate the distance between two points on a sphere. It takes into account the radius of the sphere (which is like the size of the beach ball), the latitude and longitude of the two points, and some trigonometry.

So, if you want to know how far apart two cities are on the Earth, you can use the haversine formula. First, you need to know the latitude and longitude of each city. Then you plug those numbers into the formula along with some other information about the Earth's shape.

The haversine formula calculates the distance between the two cities in units called "great circle distance," which is the shortest distance between two points on a sphere. This tells you how many miles or kilometers apart the two cities are.

So next time you go on a road trip or fly across the world, you can impress your friends by explaining how the haversine formula calculates the distance between places!