Polar Coordinates: Example 4: Circle
In this video I go over another example on polar coordinates and this time look at graphing the curve r = 2. This curve is every point r and θ in which r = 2. Since r is just the distance from the Origin or Pole, this means that we in fact have a circle with radius 2. This is because the distance is always 2 for all values of θ, which is just the angle that is being rotated. In general, the equation r = a is a circle with radius |a| or absolute value of a. This example illustrates the simplicity of describing circular equations using polar coordinates, in which a constant represents a circle. This is analogous to a straight horizontal line in Cartesian coordinates, such as y = 2 for example. This is a great video to understand the ease in which we can represent circles through the polar coordinate system, so make sure to watch this video!
Video notes and playlist:
- PDF notes: https://1drv.ms/b/s!As32ynv0LoaIhukHflXv07LA4KAP-w
- HIVE notes: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-4-circle
- Polar Coordinates playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUFiPLsYw5_Ljd5riOUzjP
Related Videos:
Polar Coordinates: Example 3: Cartesian to Polar
Polar Coordinates: Example 2: Polar to Cartesian:
Polar Coordinates: Cartesian Connection:
Polar Coordinates: Example 1:
Polar Coordinates:
Parametric Equations and Polar Coordinates:
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▶️ 3Speak
Spherical math. I've never heard of the polar coordinate system before, cool.