Coordinate Axes in Polar Coordinate System
In polar coordinate system , the point is represented using two values which are its distance from the origin or the reference point and an angle from the reference direction. Thus the system that shows a point by its distance and angle from a reference is called polar coordinate system.
Polar Axes and Origin
In the polar coordinate system, origin is termed as pole. Compared to the normal coordinate grid, the polar coordinate system uses a series of concentric circles around the pole. The axes are represented similarly as in the normal coordinate system. A point in polar coordinate system is represented as P(r, θ) where r is the distance of point from the pole and θ is the angle made by the line joining the point and the pole with the reference direction. The concentric circles have a difference of 1 unit in their radius.
Coordinate Axes in Coordinate Geometry
Coordinate Axes are the fundamental of the concept in Coordinate Geometry, which is the amalgamation of two branches of mathematics, i.e., algebra and geometry. The basic idea of coordinate geometry is to study the properties of various figures in mathematics i.e., points, lines, curves, etc.
Thus, Coordinate Axes form the basis of coordinate geometry which is the branch of mathematics dealing with the plotting of points, lines, and curves on the coordinate axes system or the Euclidean plane. In this article, we will learn about the Coordinate Axes in detail.
Table of Content
- What are Coordinate Axes?
- Coordinate Axes in Two Dimension
- Coordinate Axes in Polar Coordinate System
- Coordinate Axes in Three Dimensions
- Coordinate Axes in Other Coordinate Systems