



 
Hi Charles, The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length
The area is given by
Solve the perimeter expression for θ and substitute into the area function. This gives the area as a function of r and you can now use the calculus you know to find the value of r that maximizes the area. Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 