Coordinate geometry is a vast subject that plays a vital role in mathematics. An object or a point is defined through its position. The position is expressed in the space by the means of coordinates. There are various coordinate systems that are used to define the coordinates of an object. These coordinate systems are - Cartesian coordinate system, polar coordinate system, cylindrical coordinate system, spherical coordinate system. Here, we are going to study about polar coordinate system.
Get help with polar coordinates and types of it in this page. The polar coordinate graph is a two dimensional polar coordinate system. This plane is determined by two types:
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The curve is a 3- dimensional space or a plane. This can be classified into various types such as circles, arcs, lines, parabolas etc.
Here is explained the different types of polar graphs with diagrams:
The shape of the cardioids are heart shape. It is defined as resembles point on a radius(or circle) that rolls around the fixed radius of the same circle.
The two cardioids figures given below,
`r=a` `+-` `acostheta`
` r=a` `+-` `asintheta`
This curve is usually represented in polar coordinate system and also that resembles a figure eight form.
The equation of lemniscates given below,
` r^2=a^2cos2theta` or
This is similar to cardioid. Cardioid is a special kind of limacons family of related curves.
`r = b + a costheta` (horizontal) or
` r = b + a sintheta` (vertical)
This graph is a smooth curve that can be arranged symmerically in common center.
We are using sine and cosine equations.
This curve is endlessly in outward or inward. The spirals can be represented into various types is given below,
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