Further MathematicsCode 9231

Polar coordinates

What this topic asks you to be able to do

  • understand how Cartesian and polar coordinates are linked, and change a curve's equation from Cartesian into polar form or from polar into Cartesian form
  • sketch simple polar curves over the interval 0 ≤ θ < 2π, or −π ≤ θ ≤ π, or over any part of one of these ranges
  • state the formula ½ ∫ r² dθ giving the area of a sector, and apply it in straightforward cases