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This question involves cake..

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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yes, this is easy. what is the area of the sector of a circle with radius r and angle pi/6?
no no, i've got that bit - the area is \[\Pi r ^{2}/12\] for the sector area when the area is halved i need to know the length of 'a'

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okay, so half that area is pi r^2 /24 now, he cuts out a triangle half the slice. the triangle is isoceles. its area is 1/2 base times height. the base and height can be got from using the angle(pi/12) and hypotenuse (a)
equate the triangle's area to half the sector's area and get a in terms of r
NOM NOM cake <3

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