Difference between revisions of "Course:MATH102/Question Challenge/1998 December Q3"
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| Area = a^2
Revision as of 16:31, 7 December 2017
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Find the area of the largest rectangle that can be inscribed in the semi-circle of radius .
|Use the coordinates to label the point on the circle at the corner of the rectangle. What is the relationship between , , and ? This relationship will be a constraint in this optimization problem.|
|What is the width and height of the rectangle in terms of and ?|
|Write down the area of the rectangle in terms of and , then use the constraint to eliminate either or .|
|Area = a^2|