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National and Regional Contests
Turkey Contests
National Olympiad First Round
2004 National Olympiad First Round
9
9
Part of
2004 National Olympiad First Round
Problems
(1)
P09 [Geometry] - Turkish NMO 1st Round - 2004
Source:
11/12/2013
What is the area of the region determined by the points outside a triangle with perimeter length
π
\pi
π
where none of these points has a distance greater than
1
1
1
to any corner of the triangle?
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4
π
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B
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3
π
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C
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5
π
2
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D
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2
π
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<span class='latex-bold'>(A)</span>\ 4\pi \qquad<span class='latex-bold'>(B)</span>\ 3\pi \qquad<span class='latex-bold'>(C)</span>\ \dfrac{5\pi}2 \qquad<span class='latex-bold'>(D)</span>\ 2\pi \qquad<span class='latex-bold'>(E)</span>\ \dfrac{3\pi}2
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4
π
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B
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3
π
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C
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<
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2
5
π
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2
π
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E
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2
3
π
geometry
perimeter