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MATH / A square has sides of length 2. Set cal S is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square. The midpoints of the line segm…

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problem

A square has sides of length 2. Set $\cal S$ is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set $\cal S$ enclose a region whose area to the nearest hundredth is kk. Find 100k100k.
Plain-text mathematical notation (without MathML)
A square has sides of length 2.  Set $\cal S$ is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square.  The midpoints of the line segments in set $\cal S$ enclose a region whose area to the nearest hundredth is k.  Find 100k.
Original LaTeX notation
A square has sides of length 2.  Set $\cal S$ is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square.  The midpoints of the line segments in set $\cal S$ enclose a region whose area to the nearest hundredth is $k$.  Find $100k$.

level

Level 5

type

Geometry

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Source and history

task_id
44b3f7d6-be21-5ea6-8fb6-cb7123d17b59
task_key
geometry--test--44b3f7d6-be21-5ea6-8fb6-cb7123d17b59
task_revision_id
1
config / split
geometry / test

Official source

initial import