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Omni-MATH / Unit circle Ω has points X,Y,Z on its circumference so that XYZ is an equilateral triangle. Let W be a point other than X in the plane such that triangle WYZ is also equilateral. D…

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problem

Unit circle Ω\Omega has points X,Y,ZX, Y, Z on its circumference so that XYZX Y Z is an equilateral triangle. Let WW be a point other than XX in the plane such that triangle WYZW Y Z is also equilateral. Determine the area of the region inside triangle WYZW Y Z that lies outside circle Ω\Omega.
Plain-text mathematical notation (without MathML)
Unit circle Ω has points X,Y,Z on its circumference so that XYZ is an equilateral triangle. Let W be a point other than X in the plane such that triangle WYZ is also equilateral. Determine the area of the region inside triangle WYZ that lies outside circle Ω.
Original LaTeX notation
Unit circle $\Omega$ has points $X, Y, Z$ on its circumference so that $X Y Z$ is an equilateral triangle. Let $W$ be a point other than $X$ in the plane such that triangle $W Y Z$ is also equilateral. Determine the area of the region inside triangle $W Y Z$ that lies outside circle $\Omega$.

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Source and history

task_id
b3cd62ae-fff1-55ad-b3c2-ff8b0f2dedbe
task_key
test--b3cd62ae-fff1-55ad-b3c2-ff8b0f2dedbe
task_revision_id
1
config / split
/ test

Official source

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