Polar Coordinates: Definition, Equation & Examples


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question 1 of 3

Convert Cartesian coordinates (5, 12) into polar coordinates (r, theta).

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1. Convert Cartesian coordinates (-5,-12) into polar coordinates. Recall the Quadrant III adjustment, which is the same as the Quadrant II adjustment.

2. Convert polar coordinates (17, 298.07°) into Cartesian coordinates.

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About This Quiz & Worksheet

Polar coordinates are one type of coordinate system used in mathematical applications. This quiz will test your ability to apply formulas and solve theoretical problems surrounding polar coordinates.

Quiz & Worksheet Goals

As this quiz focuses on mathematical problems, you will need to know how to:

  • Convert between Cartesian and polar coordinates
  • Calculate radius
  • Apply knowledge of quadrants
  • Determine direction based on theta

Skills Practiced

  • Problem solving - use acquired knowledge about functions to determine the radius of a circle
  • Interpreting information - verify that you can read information regarding theta and interpret it correctly
  • Distinguishing differences - compare and contrast systems discussed in the lesson, such as polar coordinates and Cartesian coordinates

Additional Learning

To learn more about polar coordinates, see the lesson called Polar Coordinates: Definition, Equation, & Examples. This lesson provides instruction on:

  • Graphing coordinates and polar functions
  • Using the Pythagorean Theorem to help solve problems
  • Calculating theta value
  • Solving problems in different quadrants