A rectangle is to be inscribed in a semicircle of radius 2 (the upper half of the circle $x^2 + y^2 = 4$). What is the largest area the rectangle can have, and what are its dimensions?
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The equation given is x² + y² = 4, which represents a circle centered at the origin with radius 2. We're working with the upper half of this circle (the semicircle). Show more…
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