Attachment 19650

Consider a symmetric cross inscribed in a circle of radius r:

A. Write the area A of the cross as a function of x and find the value of x that maximizes the area.

B. Write the area A of the cross as a function of θ and find the value of θ that maximizes the area.

C. Show that the critical numbers of parts (a) and (b) yield the same maximum area. What is that area?

(Headbang)