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NeoPets Riddles (Lenny Conundrums) and Answers Here

 
 
brendanmp246
 
  1  
Reply Wed 11 Feb, 2009 05:55 pm
@starleogirl09,
quarter circle means that it is half of half a circle...must be helpful somehow???
0 Replies
 
starleogirl09
 
  1  
Reply Wed 11 Feb, 2009 05:56 pm
@starleogirl09,
haha, never mind...i was looking at it the wrong way! i see them now:P
0 Replies
 
brendanmp246
 
  1  
Reply Wed 11 Feb, 2009 05:57 pm
I calculated the diagonal of the square to be 989.9495
0 Replies
 
liapompeu
 
  1  
Reply Wed 11 Feb, 2009 05:57 pm
wasn't there a similar lc once?
0 Replies
 
dexsgrl
 
  2  
Reply Wed 11 Feb, 2009 05:58 pm
I've been lurking for a while (usually because I remember about the LC long after the answer has been posted on here.
This link might help: http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/anthony1.html
K311Y
 
  1  
Reply Wed 11 Feb, 2009 05:59 pm
@Breeze,
I think the area of the circle is 384845.1 cm
K311Y
 
  1  
Reply Wed 11 Feb, 2009 06:00 pm
@K311Y,
Shoot, no...that would have been the answer of a full circle. I would imagine for a quarter circle it would be 384845.1/4. Right?
K311Y
 
  1  
Reply Wed 11 Feb, 2009 06:01 pm
@K311Y,
And actually the ratio of a circle to a square when the circle is contained within it is 0.7854...if that helps.
0 Replies
 
JustJuli
 
  1  
Reply Wed 11 Feb, 2009 06:04 pm
Okay, I am completely confused about the quarter circles? The quarter circles are contained but would a full circle be?
K311Y
 
  1  
Reply Wed 11 Feb, 2009 06:08 pm
@JustJuli,
I dont know that that matters.

The area of the square is L x L. (For a square, L = W).

The area of the circle is PI x R x R, where R = L/2.
K311Y
 
  1  
Reply Wed 11 Feb, 2009 06:10 pm
@K311Y,
And by my calculations...PIxRxR=96211.5 cm as the area of a quarter circle. Did anyone else get that?
pattipaws
 
  1  
Reply Wed 11 Feb, 2009 06:11 pm
if the circumference of the full circle is 4398.2cm then each of the arcs are 199.5cm. Then each one is in three equal parts I guess so the shaded area has four equal sides of 366.52cm but I'm not sure how to get the surface of that odd shape.
0 Replies
 
darkiaia
 
  1  
Reply Wed 11 Feb, 2009 06:12 pm
@K311Y,
no
0 Replies
 
hfjai
 
  1  
Reply Wed 11 Feb, 2009 06:12 pm
@dexsgrl,
Quote:
I've been lurking for a while (usually because I remember about the LC long after the answer has been posted on here.
This link might help: http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/anthony1.html


I think you're on to something, dexsgrl. But I don't understand the last diagram at the link. That is, I can calculate 1/12 x the area of the circle. But how do I find the height and base of the triangles whose area I need to subtract?
edstock
 
  1  
Reply Wed 11 Feb, 2009 06:13 pm
@K311Y,
K3aaY wrote:
And by my calculations...PIxRxR=96211.5 cm as the area of a quarter circle. Did anyone else get that?


R = 700, so R*R = 490000. I think you are on the low side.
0 Replies
 
edstock
 
  1  
Reply Wed 11 Feb, 2009 06:13 pm
Area of quarter circle should be .25 * PI * R * R, where R = 700. Then if we take the area of the square (700 * 700) and subtract, we can get the area outside of the quarter circle.
0 Replies
 
starleogirl09
 
  1  
Reply Wed 11 Feb, 2009 06:15 pm
@hfjai,
that's what i have been trying to figure out...
darkiaia
 
  1  
Reply Wed 11 Feb, 2009 06:15 pm
@K311Y,
each side is 700 cm...so the R of the circle is also 700 cm
PixRxR= 1539380.4
rodrunner
 
  1  
Reply Wed 11 Feb, 2009 06:17 pm
@dexsgrl,
that link somehow led me to my guess. you have to have a 1/12 part of the circle and subtract the 2 triangles then you get the are of a sector .

i just multiplied that sector area into 4. and poof! that is my answer.
0 Replies
 
Unitynow8
 
  1  
Reply Wed 11 Feb, 2009 06:17 pm
@darkiaia,
has anyone figured out the height/base of the triangle?
0 Replies
 
 

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