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AdhaZeera
 3 years ago
What area can the goat roam?
AdhaZeera
 3 years ago
What area can the goat roam?

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AdhaZeera
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350884315409:dw

AdhaZeera
 3 years ago
Best ResponseYou've already chosen the best response.0Fence SHED 4feet 5feet 8feet

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350884748553:dw

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0ops i dident see the fence

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2Can he go inside the shed? And is he/she connected by a chain that is connected to the corner of the shed?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350884878590:dw

AdhaZeera
 3 years ago
Best ResponseYou've already chosen the best response.0No he's not connected. I'm not sure. That's all my teacher wrote

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2he has to be connected by a chain to the shed right?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350885122452:dw

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350885496696:dw

AdhaZeera
 3 years ago
Best ResponseYou've already chosen the best response.0How do I calculate it?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0break the shape in to smaller shapes

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2Unkle Rhaukus I like your drawings, but what is the actual value?

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2I'm very sure I know how to do it. Just give me some time to work it out.

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2its not easy, but i'm still working.

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2Ok, here it comes. Writing it up. :) !!!!!

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2yeah hang on almost done

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2you might be surprised but i got it.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0im not sure why you had to integrate

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0we know the are of a circle is πr^2, so a semicircle has area (πr^2)/2 and a quater circle has area (πr^2)/4

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2I integrated because I wanted to take the whole circle and then subtract the parts where the goat can't go. The area of the top of the circle is curved and the goat can't go there. So I created a function and integrated it so that I could find that exact area that is fenced off.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350888457508:dw

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2@ AdhaZeera Do you understand what I did when I integrated. I will explain it to you if you want. I used calculus to arrive at that answer.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350888515709:dw

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0the sector is 1/12 of a circle

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2@ UnkleRhaukus I know that there is a formula that is A= (theta)r^2/2 but I don't how it works here.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0\[A=\frac{\pi\times 3^2}4+\frac{\pi \times8^2}{2}+\frac{\pi \times8^2}{12}+\frac{4\times 8}{2}\]\[=\pi\times\frac{465}{12}+16\]\[\approx 140\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0well theta was 30° right? angles of segment / angle in circle \[30°/360°=1/12\] area of segment / area of circle \[\frac{\pi r^2}{12}\qquad/\qquad\pi r^2\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0i had to use a trig ratio to to get 30° btw

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2Your value comes to 140.35 mine is 141.7, its off only by a hair and is a very good approximation, but mine is exact.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0where did i error?

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2not sure, but its pretty darn good.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0\[A=\frac{\pi\times 3^2}4+\frac{\pi \times8^2}{2}+\frac{\pi \times8^2}{12}+\frac{4\times 8}{2}=\pi\times\frac{475}{12}+16\approx140.35\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0@Fellowroot i think we got different answers because we were solving different regions our pictures are different

Fellowroot
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1350891993500:dw The only thing I don't know if that if the 5 feet fence touches the edge of the circle or if there is a gab. For the solution i provided it doesn't matter though. On my pic, the 'x', I really don't know that distance, it may make a difference for your answer, i don't know.