A mathematically oriented candy company is putting their valentines day candy into boxes in the shape of a cardioid. In polar coordinates, the equation of the cardioid is:
r=1−sin(Θ)
If the company puts the candy box into a rectangular shipping box as shown below, What are the dimensions of the shipping box?

Question

A mathematically oriented candy company is putting their valentines day candy into boxes in the shape of a cardioid. In polar coordinates, the equation of the cardioid is:
r=1−sin(Θ)
If the company puts the candy box into a rectangular shipping box as shown below, What are the dimensions of the shipping box?

rmrjr22 · Answer

attachment

anonymous · Answer

what part is it that you are having trouble with ?

rmrjr22 · Answer

How to find the dimensions of the box that the heart has to go into. Is a rectangle, square or diamond best for this heart shaped candy?

anonymous · Answer

i would go with a square, because u can't put a heart inside a rectangle

rmrjr22 · Answer

I figured that, but I also assume a diamond would be best, thats if all sides were equal. I just dont know how to prove it mathematically.