Math: Area help.

[Viktorkrum77]

First, this is not homework, it's something I do on my own time to challenge myself.

 

 

 

 

 

 

 

But this time I went too far, and the geometry's above me, so I need your help.

 

 

 

 

 

 

 

This is the floorplan of a skyscraper, and I'm trying to find the total area. But I have segments of circles and a weird curve, which I don't know how to find the area of. All I know is area of a segment or area of an arc might work, but I have multiple segments. The circle measures 904 ft in circumference, and I don't know how to find the total area from that measurement. So I need help finding the remaining area of the three circle segments and the curved part.

 

 

 

 

 

 

 

[angryjoe]

You need to numb your mind down a little lol.

 

 

 

 

 

 

 

But the puzzle thing... I have no clue. I started doing A - level maths and was doin pretty average on it but had an arument with my teacher and havent been to a lesson since and i have now cleared my mind of all things maths :D (exept when i do a physics lesson).

[Evilperson]

Well if you have the equation for the line, you could use ol fashion calculus to determine the area...but i am assuming you dont.

[insane]

The line looks like a cosine/sine function. If you could figure out a trig function that matches that line you could use integration and solve for the area. *shrugs*

[antonwhy]

not everyone deals with feet...

[jemathonical]

I say you scrap that drawing and get an easier one :)

 

 

 

I wouldn't have a clue what is going on and won't even begin to try and figure it out.

[Jaziek]

for the circle - find the radius from the circumference (you can do that right?) and work out the area from there. and then find out what portion the segment is of the whole circle (im assuming you can do that too) and times that fraction by the area of the whole circle to find the area of the segment.. too many symbols to be able to show here i think...

[assassin_696]

That squiggly bit on the right, it the squiggles are the same on either side wouldn't they average out to be simply half the area of the rectangle that would extend 54ft out. Your 10ft and 27ft on either side look a little out of proportion, are you sure they're right?

 

 

 

 

 

 

 

For those circle segments, extend a line down centre of the curve to an unspecified point as long as it's behind the straight line of the segment. For example extend a straight line parallel to the sides past the 22ft line, make sure it's measurable. Then draw two lines from that point to either end of the 22ft line. If you can measure the angle between these two lines that you've just drawn, (using a protractor on paper should do the trick), then you can find out the area of the segment using:

 

 

 

 

 

 

 

((angle you've just measured)/360)*pi*(distance of one the lines to either side, i.e. the radius of the imaginary circle)^2

 

 

 

 

 

 

 

Now that you've (hopefully found the area of that sector, work out the area of the triange that you can see using 1/2(ab)sinC. Then subtract the area of your triange from the sector area to leave you with the segment area.

 

 

 

 

 

 

 

Hopefully that should all be possible.

[Viktorkrum77]

You're a genius Assassin! I got it, the whole thing is solved, it turned out to be around 55,600 square feet of office space. Thanks!

 

 

 

 

 

 

 

BTW is 55,600 square feet too much? :shock:

[pompey_spud]

You're a genius Assassin! I got it, the whole thing is solved, it turned out to be around 55,600 square feet of office space. Thanks!

 

 

 

 

 

 

 

BTW is 55,600 square feet too much? :shock:

 

 

 

Is this by any chance the floorplan of that MASSIVE skyscraper you had planned?

[assassin_696]

You're a genius Assassin! I got it, the whole thing is solved, it turned out to be around 55,600 square feet of office space. Thanks!

 

 

 

 

 

 

 

BTW is 55,600 square feet too much? :shock:

 

 

 

 

 

 

 

In terms of calculations that sounds fine to me, I did it roughly in my head and it works out about that.

 

 

 

 

 

 

 

From an engineer's point of view, I have no idea :P

[blue_star67]

55,600 Sq Feet is a good answer. And to get a rough estimation I found the area of the approximate rectangle surrounding the structure and got an are of about 58,000 Sq Ft. Good work assasin and Krum :thumbsup:

[Viktorkrum77]

Is this by any chance the floorplan of that MASSIVE skyscraper you had planned?

 

 

 

 

 

 

 

Nope, this is a random skyscraper, at the 30th floor the building splits off and the cylinder just continues up another 40 floors.

 

 

 

 

 

 

 

55,600 Sq Feet is a good answer. And to get a rough estimation I found the area of the approximate rectangle surrounding the structure and got an are of about 58,000 Sq Ft. Good work assasin and Krum :thumbsup:

 

 

 

 

 

 

 

Wow, that would make sense too. This isn't the full square footage since I took into account the building had a core (one example is the area with the X on it), so this was just the office space.

[pompey_spud]

So what happened to that idea you used to have? I recall it being too big to be feasible?

[Viktorkrum77]

So what happened to that idea you used to have? I recall it being too big to be feasible?

 

 

 

 

 

 

 

Found out Japan stole my idea. Anyway, it's one of those fantasies, these are more plausible, like my 122 story skyscraper.

[pompey_spud]

 

So what happened to that idea you used to have? I recall it being too big to be feasible?

 

 

 

 

 

 

 

Found out Japan stole my idea. Anyway, it's one of those fantasies, these are more plausible, like my 122 story skyscraper.

 

 

 

Haha, those crafty Japanese.

 

 

 

 

 

 

 

How tall is 122 storeys? By which I mean, how many storeys did say, the twin towers have?

[Kant]

That squiggly bit on the right, it the squiggles are the same on either side wouldn't they average out to be simply half the area of the rectangle that would extend 54ft out.

 

 

 

 

 

 

 

Hahah... i"ve been in calc class too much... I couldn't see the simple answer.

[Viktorkrum77]

 

 

So what happened to that idea you used to have? I recall it being too big to be feasible?

 

 

 

 

 

 

 

Found out Japan stole my idea. Anyway, it's one of those fantasies, these are more plausible, like my 122 story skyscraper.

 

 

 

Haha, those crafty Japanese.

 

 

 

 

 

 

 

How tall is 122 storeys? By which I mean, how many storeys did say, the twin towers have?

 

 

 

 

 

 

 

They were a 110. A story is generally 3-4 meters. The Twin Towers were 413 meters to the top floor, so it was around 4 meters each story. Taller than normal buildings, which are usually around 3.5 meters.