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Help me work out these dimensions please! :)

  • 06-03-2010 10:00pm
    #1
    WHIP IT!
    Registered Users, Registered Users 2 Posts: 5,886 ✭✭✭


    4412099952_49c3a14f21_o.jpg

    The image is the dimensions of a racetrack (in red).

    What I would like, if possible, if for someone to help me work out the CIRCUMFERENCE of the racetrack from the measurements I have.

    From the very centre of one bend to the very centre of the other is 1,052ft (ie, from furthest point to furthest point)... the track is 452ft wide. The bends are perfect semi-circles both with a 226ft radius.... the "straights" of the track are both exactly 600ft.

    Is it possible to figure out the circumference of the track "from the inside rail", so to speak from the above info? And if so, could the kindly person who figures it our for me tell me how they did it so I won't have to bother you guys again?? :)


Comments

  • #2
    .50 (MOA)
    Registered Users, Registered Users 2 Posts: 170 ✭✭.50 (MOA)


    2 x (1052-(2 x 226))
    2 times the length of the straight (cos theres two straights on the track)

    +

    2 x PI x 226
    the circumfrence of a circle with radius 226 ( the two corners add up to 1 complete circle)

    =

    4040ft


  • #3
    Cul a cnoic
    Registered Users, Registered Users 2 Posts: 653 ✭✭✭Cul a cnoic


    I am confused with the 4040 answer.

    Each straight lenght is 600.
    The 2 ends form a circle so therefore the circumference is 2 x pi x r = 2 x 3.141592654 x 226 = 1420
    track therefore is 1200 (straights)+1420(arcs) = 2620 total


  • #4
    WHIP IT!
    Registered Users, Registered Users 2 Posts: 5,886 ✭✭✭WHIP IT!


    Cul a cnoic wrote: »
    I am confused with the 4040 answer.

    Each straight lenght is 600.
    The 2 ends form a circle so therefore the circumference is 2 x pi x r = 2 x 3.141592654 x 226 = 1420
    track therefore is 1200 (straights)+1420(arcs) = 2620 total

    I think the first poster accidentally multiplied 1420 x 2 - but the method was correct so I was able to figure it out... Thanks alot for ur speedy replies lads.


  • #5
    bnt
    Registered Users, Registered Users 2 Posts: 13,074 ✭✭✭✭bnt


    I also get 2620ft, same method. Just shy of 800m, which is probably not a coincidence.

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • #6
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    Are you telling me you can't work that out yourself?


    Now I've been drinking all day and maybe missing something but 2 half circles and 2 straight pieces. Come on


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  • #7
    bnt
    Registered Users, Registered Users 2 Posts: 13,074 ✭✭✭✭bnt


    godtabh wrote: »
    Are you telling me you can't work that out yourself?
    I guess not, and he's not the only one. ;) If we want to keep the OP up late tonight, we can ask the him to tell us the area of the field inside the track ...

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • #8
    mawk
    Registered Users, Registered Users 2 Posts: 2,738 ✭✭✭mawk


    godtabh wrote: »
    Are you telling me you can't work that out yourself?


    Now I've been drinking all day and maybe missing something but 2 half circles and 2 straight pieces. Come on

    you know they allow calculators for arithmetic questions in junior cert now right?

    See ya later irelands mathematical accumen!


  • #9
    WHIP IT!
    Registered Users, Registered Users 2 Posts: 5,886 ✭✭✭WHIP IT!


    godtabh wrote: »
    Are you telling me you can't work that out yourself?


    Now I've been drinking all day and maybe missing something but 2 half circles and 2 straight pieces. Come on

    9000 posts and every one of them packed tight with wisdom no doubt... :rolleyes:


  • #10
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    Its a poor state of affairs if something so basic needs to be explained on an internet forum.

    I may not know everything but a first class student should know how to do this.


  • #11
    Michael Collins
    Moderators, Science, Health & Environment Moderators Posts: 1,852 Mod ✭✭✭✭Michael Collins


    godtabh wrote: »
    Its a poor state of affairs if something so basic needs to be explained on an internet forum.

    I may not know everything but a first class student should know how to do this.

    But you have no idea of the background of the question asker. It's only obvious to you because you've been thought it.


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  • #12
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    Michael Collins wrote: »
    But you have no idea of the background of the question asker. It's only obvious to you because you've been thought it.

    School kids are thought this.


  • #13
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    Ps this isn't an attack on the OP but rather a rant at the ability to problem solve


  • #14
    Cul a cnoic
    Registered Users, Registered Users 2 Posts: 653 ✭✭✭Cul a cnoic


    godtabh wrote: »
    School kids are thought this.
    :eek::eek:


  • #15
    WHIP IT!
    Registered Users, Registered Users 2 Posts: 5,886 ✭✭✭WHIP IT!


    godtabh wrote: »
    School kids are thought this.

    Ironically, my schooling, studies and working career are based around the English language... Thanks for the help I received from the earlier posters...


  • #16
    WHIP IT!
    Registered Users, Registered Users 2 Posts: 5,886 ✭✭✭WHIP IT!


    godtabh wrote: »
    School kids are thought this.



    PS - this isn't an attack on godtabh but rather a rant at the ability to..... use basic grammar...


  • #17
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    WHIP IT! wrote: »
    PS - this isn't an attack on godtabh but rather a rant at the ability to..... use basic grammar...

    At least thats something both of us have in common. 5 years can do something the other cant.


  • #18
    Soil Mechanic
    Closed Accounts Posts: 49 ✭Soil Mechanic


    Ahhhh...but perhaps the REAL question should be:
    -has the 'auld theodlite been moved by a drunken punter whilst the surveyor was away?
    or
    -did the track manager pace it himself at the laying out in his whellies?
    or,
    perhaps more importantly:
    -will the horse really care? :p

    2* 1/2 circle + 2 lengths= your answer.

    although I note the use of the term "perfect semi circle" with a wicked glint in my eye.....

    *cough*
    at risk of going off topic but did anyone read the article about 'grade inflation' recently?


  • #19
    jomo99
    Registered Users, Registered Users 2 Posts: 20 ✭jomo99


    godtabh wrote: »
    Ps this isn't an attack on the OP but rather a rant at the ability to problem solve

    Agree, my 11 year old worked this out, but maybe thats because I give him little jobs in the workshop. He noticed that the total distance was 1 full circle and 2 straight lines. I'm not having a go at the OP either, and my command of the English language could be better, but kids should be able to work this out, and most, sadly cannot.

    John


  • #20
    Offy
    Closed Accounts Posts: 1,701 ✭✭✭Offy


    So as engineers lets put down everyone that cant do what we can do.


  • #21
    godtabh
    Moderators, Science, Health & Environment Moderators Posts: 23,243 Mod ✭✭✭✭godtabh


    Offy wrote: »
    So as engineers lets put down everyone that cant do what we can do.

    every one should be able to do this. You dont need to be an engineer to figure it out


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  • #22
    Offy
    Closed Accounts Posts: 1,701 ✭✭✭Offy


    godtabh wrote: »
    every one should be able to do this. You dont need to be an engineer to figure it out
    Every one should be able to cook food as basic as bread but I cant. Im glad others can and do without been condescending every time I buy a loaf.


  • #23
    spideog7
    Registered Users, Registered Users 2 Posts: 1,230 ✭✭✭spideog7


    Offy wrote: »
    Every one should be able to cook food as basic as bread but I cant.

    Why should everyone be able to cook bread? It's hardly intuitive, whereas the question the OP asked is relatively intuitive as long as one has learned the basic concept of a perimeter and addition. The question basically read: how long is this line given that it's made up of 4 parts that are w,x,y and z long respectively.

    I don't think anybody was condescending but rather they expected that most people who have gone through a formal education of reading, writing and arithmetic should know how to approach that problem.

    P.S. Funny you should bring it up cause I baked a lovely loaf of soda bread last night :D


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