The radius r of the smallest circular paper plate that holds a pizza of a given radius R=5 inches and central angle q, 0 r=f(q) where:

1. Sketch the pizza in its plate for q = p/6 (a 30 degree wedge). Find r for q = p/6.

2. Sketch the pizza in its plate for q = p (half the pizza). Find r for q = p.

3. Determine the function f(q) for the domain p q 2p.

4. Explain how to obtain the formula above for the function f(q) on (0,p). Hint: Sketch lots of examples.

5. Use MATLAB to create and print a graph of f(q). (printed graph to be submitted separately to professor.)

if you can, you can draw the graph on paper.

A wedge of pizza. (Yum!)