study guides for every class

that actually explain what's on your next test

Pole

from class:

Calculus II

Definition

In polar coordinates, the pole is the origin or reference point from which the radial distance is measured. It serves as the starting point for defining the position of points in a plane using polar coordinates.

congrats on reading the definition of pole. now let's actually learn it.

ok, let's learn stuff

5 Must Know Facts For Your Next Test

  1. The pole corresponds to $(0, 0)$ in Cartesian coordinates.
  2. All angles in polar coordinates are measured from the pole.
  3. A point at the pole has a radial coordinate $r = 0$ regardless of the angle $\theta$.
  4. Polar equations often describe curves that pass through or are centered around the pole.
  5. Transforming between Cartesian and polar coordinates requires referencing distances and angles from the pole.

Review Questions

  • What is the significance of a point having a radial coordinate $r = 0$?
  • How does one convert from Cartesian coordinates to polar coordinates with respect to the pole?
  • Describe how angles are measured in polar coordinates starting from the pole.
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.