Curved Surface Area of Cones

Interact with the following applet for a few minutes. Then, answer the questions that follow.
When you click "dissect the sector" and use the "rearrange" slider, you should notice that the "rectangle" forming. Increase the sector parts and notice how it changes.
Describe what happens when. you increase the "sector parts".
What is the height of this "rectangle"?
What is the width of this "rectangle"?
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Information: Curved Surface Area of Cones