A rectangle is drawn inside a semi circle with radius 5 cm as shown.[br][br]Use the slider to control the value of p. What is the minimum and maximum value of p in this context?[br][br]What is the minimum and maximum of A, the area of the rectangle, in this context?[br][br]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.[br][br]Draw your fuction using geogebra.org/classic or desmos graphing.[br][br]Compare your paper & pencil graph with function you have drawn. If they don't agree, figure out why not.