Section 11.5 Worksheet: Areas and lengths in polar coordinates

Assigned problems: Exercises pp. 708-709, #5, 8, 18, 23, 25, 39, 41, 46, 48 (due Monday, 10/27).

  1. Explain how the ``divide and conquer'' method of breaking up a large problem into many small problems is applied in this section.

  2. Justify the area formula for the sector of a circle:

    displaymath106

    Hint: we did it in class once!

  3. What is a formula for a four-leaved rose?

  4. Are there any radical new ideas required for the derivation for the arc length of a curve given by polar coordinates?



Wed Oct 1 18:19:43 EDT 2003