Functions Rectangle in Semi Circle

A rectangle is drawn inside a semi circle with radius 5 cm as shown. Use the slider to control the value of p. What is the minimum and maximum value of p in this context? What is the minimum and maximum of A, the area of the rectangle, in this context? Use at least 8 ordered pairs from the applet to draw a graph on paper, putting p on the horizontal axis and A on the vertical axis.
Calculate an expression for A in terms of p. Use the 'how to begin' button for an idea if required. Draw your fuction using geogebra.org/classic or desmos graphing. Compare your paper & pencil graph with function you have drawn. If they don't agree, figure out why not.