24-25 Largest rectangle inscribed in a circular quadrant

Problem 24
Find the area of the largest rectangle that can be cut from a circular quadrant as in Fig. 76.
 

Rectangle inscribed in a circular quadrant

Solution 24

 

Problem 25
In Problem 24, draw the graph of A as a function of $\theta$. Indicating the portion of the curve that has a meaning.

Solution 25

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