Thank you so much for your reply HallsofIvy. I had a feeling that a formula could be derived using the formula for a loon, I just could not quite find a way to relate them, but your method using isosceles triangles definitely makes a lot of sense to me.
What if there were another dimension...
If a V-shaped cut were to be made through an entire sphere, radius DR (Dome Radius) with a Cutting Angle (CA- angle of the cut), what would be the surface area of the sphere section that would be cut? This is assuming that CA is less than 180 degrees. Also the Cut Depth (CD- depth of the...