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CircleCircle Intersection 
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#1
Jun2514, 09:49 PM

PF Gold
P: 19

Okay, so I've found out about how circlecircle intersection works ( http://mathworld.wolfram.com/Circle...ersection.html ). I'm working with the following knowledge:
How would I solve for d in the following equation? A = 2r^{2}arccos(d/2r)  0.5sqrt(4r^{2}d^{2}  d^{4}) or, with the values put in: 100 = 288arccos(d/24)  0.5sqrt(576d^{2}  d^{4}) 


#2
Jun2514, 10:31 PM

P: 641

Solve numerically?



#3
Jun2514, 10:36 PM

PF Gold
P: 19




#4
Jun2614, 06:16 AM

P: 641

CircleCircle Intersection
One way is to arrange your equation in any convenient way you like, and graph the left and right sides as functions of d.



#5
Jun2614, 07:51 AM

PF Gold
P: 19

The problem is, there's only one possible answer for d. How would I even know if I got close? I mean, I know it's less than 24 and proooobably more than 12, but... that's just from thinking about the circles on a graph. 


#6
Jun2614, 08:26 AM

P: 641

Well, for sure 0 ≤ d ≤ 24, so just try plotting over that interval first and see what happens.



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