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#80 2012-11-16 00:01:52
- bob bundy
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Re: Area of Squares
Ok. That's better. I make it a bit less but it was supposed to be an estimate.
If you look back to the question (post 48), there are lots of steps. If you go through these one at a time I think you can improve that estimate.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#82 2012-11-16 00:28:35
- bob bundy
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Re: Area of Squares
The question tries to lead you through the steps.
Q6. Just give the goat freedom to move until the rope touches the edge of the barn.
That is the answer you have given.
Q7. What is the new radius when B is the new centre (rope had snagged the corner of the barn at B). And what area this time.
I have colour coded the diagram to make it easier (I hope).
For Q6 look at the yellow area.
For Q7 look at the red area.
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#91 2012-11-16 07:50:27
- bob bundy
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Re: Area of Squares
OK. So now for
8. When the rope goes around the barn the other way, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?
Now the reverse of the yellow bit is the yellow bit again so that's just Q6 all over again. And don't add it up for the total grass twice as the goat can only eat it once.
So I assume this means wrap the rope around point D and continue with the bit I've shaded green on my diagram. If you have a look you'll see that the red and green bits overlap.
So if you take green as 1/4 30^2 PI again you'll count a bit twice. Roughly how much is the bit in the overlap?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#97 2012-11-16 09:05:24
- zee-f
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Re: Area of Squares
yup thats what I have in my notes but I thought that was wrong I get 20 and a half like that overlapping area 2 squares and a half
One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3