Started By
Message
locked post

Calculus problem for the great minds of the OT

Posted on 2/3/17 at 6:48 pm
Posted by dkreller
Laffy
Member since Jan 2009
34298 posts
Posted on 2/3/17 at 6:48 pm
There are 2 concentric circles (radius of C2 > radius of C1) with known radii.

They are overlapped by another circle with a known radius. (radius of C3 < radius of C1)

What is the formula to give the area of the overlapped annular space?

For your pleasure and troubles



TIA
Posted by ehidal1
Chief Boot Knocka
Member since Dec 2007
37337 posts
Posted on 2/3/17 at 6:49 pm to
Well I see the 2 circles
Posted by ksayetiger
Centenary Gents
Member since Jul 2007
70468 posts
Posted on 2/3/17 at 6:50 pm to
The radius is irl 8.5
Posted by Darth Aranda
Naboo
Member since Dec 2016
3122 posts
Posted on 2/3/17 at 6:51 pm to
Posted by fightin tigers
Downtown Prairieville
Member since Mar 2008
79746 posts
Posted on 2/3/17 at 6:52 pm to
The nerds trying to figure out the answer to your problem have no interest in the picture.
This post was edited on 2/3/17 at 6:53 pm
Posted by Dirty Rascal
BR/Nola
Member since Sep 2014
1013 posts
Posted on 2/3/17 at 6:55 pm to
Don't know, but that's a fine pair of concentric circles
Posted by dkreller
Laffy
Member since Jan 2009
34298 posts
Posted on 2/3/17 at 6:55 pm to
The size of the circles will always be different for my application.

I just need a formula.

Eta I read your post wrong
This post was edited on 2/3/17 at 6:56 pm
Posted by Dirty Rascal
BR/Nola
Member since Sep 2014
1013 posts
Posted on 2/3/17 at 6:57 pm to
this might help... LINK
Posted by GRTiger
On a roof eating alligator pie
Member since Dec 2008
71823 posts
Posted on 2/3/17 at 6:58 pm to
What's concentric?

Posted by TheArrogantCorndog
Highland Rd
Member since Sep 2009
16029 posts
Posted on 2/3/17 at 7:05 pm to
Posted by rantfan
new iberia la
Member since Nov 2012
14110 posts
Posted on 2/3/17 at 7:46 pm to
Do your own homework and stop taking pictures of my ex girlfriends.
Posted by Bayou Tiger
Member since Nov 2003
3757 posts
Posted on 2/3/17 at 7:48 pm to
Wait, what part of that problem is calculus? The geometry answer is straightforward.
Posted by dkreller
Laffy
Member since Jan 2009
34298 posts
Posted on 2/3/17 at 7:49 pm to
Thanks. I was having trouble finding a break down like that.

It's been a while.

Posted by foshizzle
Washington DC metro
Member since Mar 2008
40599 posts
Posted on 2/3/17 at 7:49 pm to
quote:

What is the formula to give the area of the overlapped annular space?


I don't know the answer to your question. The chick though? I would annular.
Posted by dkreller
Laffy
Member since Jan 2009
34298 posts
Posted on 2/3/17 at 7:49 pm to
See post above smarty pants.
Posted by soccerfüt
Location: A Series of Tubes
Member since May 2013
76146 posts
Posted on 2/3/17 at 8:19 pm to
Here's some help-
IxWxHxI
t < 0.5 minute

Posted by castorinho
13623 posts
Member since Nov 2010
88335 posts
Posted on 2/3/17 at 8:45 pm to
Something is missing in the OP. The first two circle are concentric, what about the third? Where's its center?
Posted by NYNolaguy1
Member since May 2011
21836 posts
Posted on 2/3/17 at 9:02 pm to
(x+a)^2+(y+b)^2=r^2, take the integrals of the circles and subtract one from the other to get the difference.

Depending on how they are overlaid calculus might not be required.
Posted by NYNolaguy1
Member since May 2011
21836 posts
Posted on 2/3/17 at 9:05 pm to
If I am reading it right the center for the first two circles are the same. The third is offset and he wants the area under the curve at the intersection of the smallest circle and the other two.

Methinks this would be better explained in a graph.
Posted by NYNolaguy1
Member since May 2011
21836 posts
Posted on 2/3/17 at 9:08 pm to
You could also inegrate with respect to r and theta (polar coordinates) rather than Cartesian and hopefully get the same answer.
first pageprev pagePage 1 of 2Next pagelast page

Back to top
logoFollow TigerDroppings for LSU Football News
Follow us on X, Facebook and Instagram to get the latest updates on LSU Football and Recruiting.

FacebookXInstagram