1. Areas and Arc Lengths in Polar Form
11.4

2. Let’s investigate the following…
From the area of a sector formula and the small angle formula r2 Dq r1

3. Examples… Sketch and find the area of one petal of
Make a guess! How else will you know if your answer is even reasonable?
Need to determine appropriate limits for theta
Set up as area in polar form and solve

4. Example…
Find the area between and
… Do this in Maple

5. Examples… 11.4: 5,6,30,33 Areas between intersection curves:
-need to determine intersection points
-use what you know about areas between graphs

6. Arc Length
Let’s explore where the expression comes from…
Examples: 46