Question

This question involves cake..

Answer 1

yes, this is easy. what is the area of the sector of a circle with radius r and angle pi/6?

Answer 2

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'

Answer 3

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)

Answer 4

equate the triangle's area to half the sector's area and get a in terms of r

Answer 5

NOM NOM cake <3