HCI Applications of Differentiation Tutorial Q6
HCI Applications of Differentiation Tutorial Q6
Tutorial
The diagram shows a rectangle \(ABCD\) inscribed in a semi-circle with fixed radius \(r\)cm.
If \(AD=x\)cm, find an expression for the perimeter \(P\) and area \(S\) of rectangle \(ABCD\), in terms of \(r\) and \(x\).
Show that when \(S\) is a maximum, the value of \(P\) is \(3\sqrt{2}r\).
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Answer:\(S\) is maximum when \(x = \sqrt{2}r\); \(P = 3\sqrt{2}r\) cm
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