Consider square with vertices at (1,1), (-1,1), (-1, -1), and (1, -1).
S is the region which consists of all points inside the square which are nearer to the origin than any edge of this square.
Determine the area of S.
"
nearer to the origin than any edge of this square." can be interpreted two ways:
nearer to the origin than to any edge of this square.
or
nearer to the origin than any edge of this square is.
The latter is too easy: pi/4, the area of a circle of radius 1/2, so the former locution must be meant.
I guess it's more of a clarification/assumption, rather than a question.
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Posted by Charlie
on 2023-08-19 06:27:58 |