Question: The diagram shows a shape made from a rectangle and a semicircle. y + 1/4 x ( + 2) = 25 a) Show that the

The diagram shows a shape made from a rectangle and a semicircle. y + 1/4 x (π + 2) = 25


2x metres 2y metres


a) Show that the area A square metres of the shape is given by A = 100x − 2x² − 1/2πx2


b) Find the maximum value of A and
explain why this value is a maximum.

2x metres 2y metres

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