### 3 videos in "Arc Length, Area, Surface Area and Polar Coordinates"

## Areas and Lengths Using Polar Coordinates

Areas and Lengths Using Polar Coordinates

6009 views, 4 ratings - 00:18:02

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.

(
download video
)

Area of a polar region; length of a polar arc.

- How do you find areas using polar coordinates?
- How do you find arc length using polar coordinates?
- How do you find the area inside r = 1 + cos theta?
- What is the area inside r = sin (3theta)?
- How do you find the area between two polar curves?
- How do you find the area between r = 2cos theta and r = 1?
- How do you find the area between r = sin(3theta) and r = sin theta?
- What is the equation for length of a polar arc?
- How do you find the perimeter of r = 1 + cos theta?
- How do you find the length of the curve r = theta between 0 and 2pi?

This lesson is really interesting. You will learn to find area and arc length using polar coordinates, which can be much easier in many instances. Many examples are shown. This is a really helpful lesson if you are trying to understand how to find area and arc length using polar coordinates.