A rectangle is cut from a circular disc of radius 6 cm. Find the area of the largest rectangle that can be produced
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Originally Posted by differentiate A rectangle is cut from a circular disc of radius 6 cm. Find the area of the largest rectangle that can be produced The diagonal of the rectangle is the diameter of the circle. Let $\displaystyle x$ be the width, $\displaystyle y$ the height. You want to maximize the function $\displaystyle xy$ given that $\displaystyle \sqrt{x^2+y^2}=12\implies x^2+y^2=144$.
Thanks. I got the answer. its 72
That looks right. Notice that it's a square. This will often be the case when you want to maximize area (or volume).
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