The goat is tied with a 40 ft rope to circular silo with radius 10 ft. How much grazing area does he have?

Question

ahsome · Answer

Could you draw a diagram, @geerky42 ?

geerky42 · Answer

Give me minute

ahsome · Answer

K

geerky42 · Answer

attachment

anonymous · Answer

what class is this precalculus?

geerky42 · Answer

I am in calculus, but I kind of came up with this problem, because I am curious, but I am stuck already ha.

anonymous · Answer

college calculus?

anonymous · Answer

im stuck doing rates of change i dont think i can help you there

geerky42 · Answer

That's fine, this problem is tough, apparently.

geerky42 · Answer

especially finding this small area that overlap...

anonymous · Answer

um you came up with a problem you dont know the solution to?

geerky42 · Answer

Yeah...?

ahsome · Answer

Wait a sec

geerky42 · Answer

I don't really came up. I was somewhere on internet where goat is tied to rectangular building, which is easy problem. I was wondering about if building is circle.

geerky42 · Answer

Wait a sec what? @Ahsome

ahsome · Answer

I am trying to figure it out ;)
What is $A_1,A_2$ I can't see from the picture

geerky42 · Answer

I divided area into two areas. $A_1$ is just semicircle, which is easy. The remaining area is $A_2$. I don't really know where to start for this area...

ahsome · Answer

Semicircle? Where is that? This is what I see|dw:1411437528910:dw|

geerky42 · Answer

|dw:1411437562321:dw|

ahsome · Answer

So what is:
$$A_1$$
$$A_2$$
The inside circle on the right?
Where is the 40ft rope with 10ft Radius? 
I am CONFUSED

geerky42 · Answer

That circle is basically like tower, something goat cannot get in. Goat is tied to this point:|dw:1411437745293:dw|

He is tied with 40ft rope.