1. Investigate how you would find the area of a triangle on a sphere... You are painting a sphere with a radius of 10cm with a triangular "Delta Airlines" logo. You

have enough red, blue, and white paint for the logo, which is a triangle with angle measures 75-75-80, but you're worried you won't have enough black paint in your 15 ounce bottle to paint the rest of the sphere. The store is closing soon, and you have to decide if you have enough paint before you can be done painting. From previous experience, you've found an ounce of paint can cover the interior of a circle of radius 5 cm² in the plane. Should you head to the store, or just start painting?