In this section, we will derive the distance formula and use it to find the distance between two points on the coordinate plane and also to find the area and perimeter of polygons. Students often get confused with the distance formula and with the formula of distance and speed. It is important to understand that in co-ordinate geometry, the ‘distance formula’ is used to calculate the distance between any two points, while distance and speed comes under another topic of speed, distance and time. This article contains a list of distance formulas for class 9 along with some easy tips to remember them. Distance formulas help us calculate the shortest distance between two points in 2D and 3D spaces. Understanding distance formulas is essential for learning advanced topics in mathematics, such as vectors, trigonometry, calculus, and coordinate geometry. Learn how to calculate the distance between two points in a 2D or 3D plane using the Pythagorean theorem. Find out the distance formula for a point from a line, parallel lines, and polar coordinates with solved examples and fun facts.