Find the area of the curved surface area of the cone of base radius [i]r[/i] and slanted height [i]l[/i]. (Click https://ggbm.at/206987to see how the curved surface area of the cone equals this sector).
Anthony C.M. Or[br]GeoGebra Institute of Hong Kong
What do you notice as you flatten the cone?
What dimensions are present?
What are the two areas you have left in the cone once it is flattened?
Click the "Dissect the Sector" button.
Does it matter how may slices you have?
Set it to six and then hit the rearrange button. What happenes?
As you laid it out what shapes do you notice?
How does this support the equation?