Polar Coordinates — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Polar Coordinates (Analytic Geometry), each with the correct answer and a worked solution.

  1. Find the point of intersection, with 0°< <90°, of the curves r=2 and r=4 .
  2. Express the line x=4 in polar form.
  3. Find the eccentricity of the conic r=6/2+ .
  4. Identify the conic r=3/1+ .
  5. Find the distance between the polar points (3,30°) and (5,90°).
  6. Convert the polar equation r=4 to rectangular form.
  7. Convert the rectangular point (-3,3) to polar coordinates (r, ) with r>0 and 0°≤ <360°.
  8. Convert the polar point (4,60°) to rectangular coordinates.