## Monday, June 25, 2012

### Polar Coordinate System

The (x, y) co-ordinates of a point in the plane are called its Cartesian co-ordinates.But there is another way to specify the position of a point,and that is to use polar co-ordinates(r, θ).

A polar coordinate system consists of a fixed point (called the pole or origin)and a ray from the origin (called the polar axis). The polar axis is usually horizontal and directed toward the right.

Every point in the polar coordinate system is described by an ordered pair of real numbers, (r, θ). The first coordinate describes the point's distance from the pole and the second coordinate describes the angle formed with the polar axis.

Following conventions are used while using polar co-ordinates :
• θ is measured in radians.
• θ is measured from the polar axis ,and is measured as positive in an anticlockwise direction from the it, or negative in a clockwise direction from the polar axis.
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