Creating a Cone
Creating a Cone
A cone can be created by cutting out a sector of a circle and taping the two radii together.
In the diagram of the cone, we can see the Pythagorean relationship between the height , radius of the base of the cone , and slant height of the cone :
Central Angle and Radius
If we fix the slant height (which corresponds to the radius of the flat sector, what is the radius , in terms of ?
Relating the Angles
How does the central angle of the sector relate to the angle between the altitude and slant height ?