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What must the dimensions of the window which has a rectangular bottom and a semicircle top be to let in the most light and the available material is 12meters?
Wiki User
∙ 14y ago
You refer to a "rectangular" bottom, but we know that a circle offers the most area for a given perimeter, so the height of the rectangular part should be 0. We really just want a semicircle with a perimeter of 12 meters.
π·d/2 + d = 12 m
(π/2 + 1)·d = 12 m
d = 12 m / (π/2 + 1) = ~4.6678 m
Wiki User
∙ 14y ago
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