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by krusta80 » Sat Mar 03, 2012 10:11 pm
jzw wrote:What is the length of a circle with a radius of 100? Please show how to do. I would have thought to take circumference of the circle and divide by 4?
As far as I know, the "length" of a circle would either be the diameter or the circumference? Did you paraphrase this question?
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by shashank.ism » Sat Mar 03, 2012 11:28 pm
What do you mean by "length of a circle".. Do such term exist ??
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by shashank.ism » Sat Mar 03, 2012 11:31 pm
I think question would be length of circumference .. :)
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by jzw » Sun Mar 04, 2012 6:17 am
In the actual question it says "a fence in the shape of a quarter circle"...."what is the length of the entire fence".

We've got two radii at 100 ft each, and then the arc that connects the two radii together to form the quarter of a circle.
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by krusta80 » Sun Mar 04, 2012 8:44 am
jzw wrote:In the actual question it says "a fence in the shape of a quarter circle"...."what is the length of the entire fence".

We've got two radii at 100 ft each, and then the arc that connects the two radii together to form the quarter of a circle.
Ah ok...well assuming they mean just the quarter of the arc of a circle, it's circumference/4 = 2*pi*r/4 = 50*pi

If we also include the radii (aka straight edges), then the answer is 50*pi + 200
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by jzw » Sun Mar 04, 2012 8:55 am
Indeed - the correct answer is 357; (50pi)+200=357.

Maybe it was the late hour that was getting me. Diameter is 200 so circumference is 200pi, 1/4 of that is 50pi, add that to each of the 100 and we get 357. As I look @ it now it seems like an easier question. Thanks!
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by krusta80 » Sun Mar 04, 2012 9:06 am
jzw wrote:Indeed - the correct answer is 357; (50pi)+200=357.

Maybe it was the late hour that was getting me. Diameter is 200 so circumference is 200pi, 1/4 of that is 50pi, add that to each of the 100 and we get 357. As I look @ it now it seems like an easier question. Thanks!
No problem...nothing like a lack of sleep to make those pictures start moving around in your head. Trust me I've been there too. :)
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