Tell me I'm not crazy

Circumference

Okay, given the image and assuming it's a sphere and given:

Image:  http://imgur.com/Qmsp0

d1 = 6
r1 = 3

We know that Circumference is:

C1 = 2*3.14159*3 = 18.84954

So, given that and an angle theta = 40

We should get that r2 = cos(theta)*r1 = cos(40) * 3 = 2.29813

So now, since we have r2, we know that C2 = 2*3.14159*r2 = 2*3.14159*2.29813 = 14.4395

It seems like that should be right, shouldn't it?