So I must give my cat a tablet, but the tablet is overdosed. I calculate that I need to give 40% of the tablet.
So How do I know where is the line dividing the disk into 60%-40%, once I suppose that the product is homogeneous in the tablet ?
>>8450517
0.4*360 degrees
>>8450519
yeah but I do not want a slice, because it involves two cuts. I want to cut once.
the line red is half the pill, but I want to know if the green line is good for dividing into 60-40
>>8450533
I feel like you're disguising your homework problem as a practical problem. If you need to dose it, there are lots of better ways to do it. Like crushing the pill and weighing it out on a scale
>>8450534
no I want to keep the 60% part of pill intact, for another cat. Anyway, I divided one half into two halves and it gives me 62,5%. I only have a knife and some humidified cat food to break the pill, so it is the best I can do I think.
>>8450553
I think it probably makes the most sense to crush the pills and weigh out however much you want. That way you won't have an issue measuring your cuts
>>8450517
I don't feel like solving it, but anyone else can go right ahead
>>8450604
I messed up the function by forgetting to split it up at inflection points
(1/2 area of circle + integral area of the circle function with a variable shift in the y center coordinate)/area of circle = .6
Solve the integral and then solve for the amount of shift. The amount of shift is how much distance off center to make the cut.
>>8450517
Just give half the tablet.
>>8450517
Feed your cat to 2.5x of his original weight and give him the whole tablet, problem solved
>>8450517
circle radius 1:
https://www.wolframalpha.com/input/?i=0.4%3Dint+(sqrt(1-x%5E2)+-+k)+from+-1+to+1
0.5854/2 = 0.293
so cut the cat like 29% of its diameter from the center.
Give him half the tablet. Give going the other half later.