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  • M Offline
    M Offline
    MoustafaS
    wrote on last edited by
    #1

    Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

      d
    
      • -|- - -
        | |
        | |
        | |
        | |
      • -|- - -
        x

    About : Islam
    About : Me

    R V N A M 8 Replies Last reply
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    • M MoustafaS

      Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

        d
      
        • -|- - -
          | |
          | |
          | |
          | |
        • -|- - -
          x

      About : Islam
      About : Me

      R Offline
      R Offline
      Raj Lal
      wrote on last edited by
      #2

      Area of circle - Area of square = Pi * Rdog * Rdog - side * side = Pi * 20 * 20 - 10 * 10 = (4Pi - 1)* 100 ~= 11.56 * 100 ~= 1156 ?

      Omit Needless Words - Strunk, William, Jr.


      Vista? Cryptography Next Generation (CNG) here

      M 1 Reply Last reply
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      • R Raj Lal

        Area of circle - Area of square = Pi * Rdog * Rdog - side * side = Pi * 20 * 20 - 10 * 10 = (4Pi - 1)* 100 ~= 11.56 * 100 ~= 1156 ?

        Omit Needless Words - Strunk, William, Jr.


        Vista? Cryptography Next Generation (CNG) here

        M Offline
        M Offline
        MoustafaS
        wrote on last edited by
        #3

        :laugh: Taking your word, "The most obvious solutions are not right". Also I put this puzzle specially for you.


        About : Islam
        About : Me

        R R 2 Replies Last reply
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        • M MoustafaS

          Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

            d
          
            • -|- - -
              | |
              | |
              | |
              | |
            • -|- - -
              x

          About : Islam
          About : Me

          V Offline
          V Offline
          Vikram A Punathambekar
          wrote on last edited by
          #4

          PI * 20.3125?

          Cheers, Vıkram.


          Déjà moo - The feeling that you've seen this bull before. Join the CP group at NationStates. Password: byalmightybob

          M 1 Reply Last reply
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          • V Vikram A Punathambekar

            PI * 20.3125?

            Cheers, Vıkram.


            Déjà moo - The feeling that you've seen this bull before. Join the CP group at NationStates. Password: byalmightybob

            M Offline
            M Offline
            MoustafaS
            wrote on last edited by
            #5

            Sorry, wrong, also I want steps.


            About : Islam
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            • M MoustafaS

              :laugh: Taking your word, "The most obvious solutions are not right". Also I put this puzzle specially for you.


              About : Islam
              About : Me

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              R Offline
              Rama Krishna Vavilala
              wrote on last edited by
              #6

              :laugh::laugh::laugh: Now you are giving Quartz a taste of his own medicine. BTW: Is the answer: 95.66

              M 1 Reply Last reply
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              • M MoustafaS

                Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                  d
                
                  • -|- - -
                    | |
                    | |
                    | |
                    | |
                  • -|- - -
                    x

                About : Islam
                About : Me

                N Offline
                N Offline
                Nish Nishant
                wrote on last edited by
                #7

                LongHC wrote:

                Q : What is the area that the dog can move in ?

                What's the area of the house (the actual building within the fence)? Without knowing that, you cannot calculate the area the dog can walk in. Oops - sorry. I thought the dog was tied inside the fence.

                Regards, Nish


                Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                My latest book : C++/CLI in Action / Amazon.com link

                M 1 Reply Last reply
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                • R Rama Krishna Vavilala

                  :laugh::laugh::laugh: Now you are giving Quartz a taste of his own medicine. BTW: Is the answer: 95.66

                  M Offline
                  M Offline
                  MoustafaS
                  wrote on last edited by
                  #8

                  Rama Krishna Vavilala wrote:

                  BTW: Is the answer: 95.66

                  Wrong :->

                  Rama Krishna Vavilala wrote:

                  Now you are giving Quartz a taste of his own medicine.

                  It seems not only he will taste it.:-O


                  About : Islam
                  About : Me

                  R 1 Reply Last reply
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                  • N Nish Nishant

                    LongHC wrote:

                    Q : What is the area that the dog can move in ?

                    What's the area of the house (the actual building within the fence)? Without knowing that, you cannot calculate the area the dog can walk in. Oops - sorry. I thought the dog was tied inside the fence.

                    Regards, Nish


                    Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                    My latest book : C++/CLI in Action / Amazon.com link

                    M Offline
                    M Offline
                    MoustafaS
                    wrote on last edited by
                    #9

                    Nishant Sivakumar wrote:

                    What's the area of the house (the actual building within the fence)?

                    It is written in the puzzle.

                    Nishant Sivakumar wrote:

                    Without knowing that, you cannot calculate the area the dog can walk in.

                    Remember it can't go through it, it will only stick around the wall.


                    About : Islam
                    About : Me

                    N 1 Reply Last reply
                    0
                    • M MoustafaS

                      Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                        d
                      
                        • -|- - -
                          | |
                          | |
                          | |
                          | |
                        • -|- - -
                          x

                      About : Islam
                      About : Me

                      A Offline
                      A Offline
                      Andy Brummer
                      wrote on last edited by
                      #10

                      The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


                      Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

                      N M 2 Replies Last reply
                      0
                      • M MoustafaS

                        Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                          d
                        
                          • -|- - -
                            | |
                            | |
                            | |
                            | |
                          • -|- - -
                            x

                        About : Islam
                        About : Me

                        N Offline
                        N Offline
                        Nish Nishant
                        wrote on last edited by
                        #11

                        Total area dog can walk in = (Pi * 20 * 20)/2 + (Pi * 15 * 15)/2 + (Pi * 5 * 5)/2 = Pi/2 * (400 + 225 + 25) = Pi * 325 = approx 1020.5

                        Regards, Nish


                        Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                        My latest book : C++/CLI in Action / Amazon.com link

                        1 Reply Last reply
                        0
                        • M MoustafaS

                          Nishant Sivakumar wrote:

                          What's the area of the house (the actual building within the fence)?

                          It is written in the puzzle.

                          Nishant Sivakumar wrote:

                          Without knowing that, you cannot calculate the area the dog can walk in.

                          Remember it can't go through it, it will only stick around the wall.


                          About : Islam
                          About : Me

                          N Offline
                          N Offline
                          Nish Nishant
                          wrote on last edited by
                          #12

                          LongHC wrote:

                          Remember it can't go through it, it will only stick around the wall.

                          Sorry, initially I thought the dog was inside the fence.

                          Regards, Nish


                          Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                          My latest book : C++/CLI in Action / Amazon.com link

                          1 Reply Last reply
                          0
                          • M MoustafaS

                            Rama Krishna Vavilala wrote:

                            BTW: Is the answer: 95.66

                            Wrong :->

                            Rama Krishna Vavilala wrote:

                            Now you are giving Quartz a taste of his own medicine.

                            It seems not only he will taste it.:-O


                            About : Islam
                            About : Me

                            R Offline
                            R Offline
                            Rama Krishna Vavilala
                            wrote on last edited by
                            #13

                            Assuming that the dog cannot cross the fence. The dog will walk in an area like the following: dog.png (1.1 Kb) The area = 2 * area of rectangles + Area of the 1/6 the circle = 2 * 0.5 * 5 * sqrt(75) + 1/6 * pi * 100 Where did I go wrong?

                            M 1 Reply Last reply
                            0
                            • A Andy Brummer

                              The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


                              Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

                              N Offline
                              N Offline
                              Nish Nishant
                              wrote on last edited by
                              #14

                              Andy Brummer wrote:

                              Think about how the leash wraps around the house as the god walks around it.

                              SOAPBOX!!! :rolleyes:

                              Regards, Nish


                              Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                              My latest book : C++/CLI in Action / Amazon.com link

                              1 Reply Last reply
                              0
                              • A Andy Brummer

                                The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


                                Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

                                M Offline
                                M Offline
                                MoustafaS
                                wrote on last edited by
                                #15

                                Very nice :laugh:

                                Andy Brummer wrote:

                                god

                                :wtf: DOG please, DOG.


                                About : Islam
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                                • M MoustafaS

                                  Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                                    d
                                  
                                    • -|- - -
                                      | |
                                      | |
                                      | |
                                      | |
                                    • -|- - -
                                      x

                                  About : Islam
                                  About : Me

                                  T Offline
                                  T Offline
                                  Tarakeshwar Reddy
                                  wrote on last edited by
                                  #16

                                  1139.271 1021.42771 Forgot to /2 for pi*5*5

                                  M 1 Reply Last reply
                                  0
                                  • M MoustafaS

                                    Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                                      d
                                    
                                      • -|- - -
                                        | |
                                        | |
                                        | |
                                        | |
                                      • -|- - -
                                        x

                                    About : Islam
                                    About : Me

                                    M Offline
                                    M Offline
                                    MoustafaS
                                    wrote on last edited by
                                    #17

                                    Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm


                                    About : Islam
                                    About : Me

                                    N V 2 Replies Last reply
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                                    • M MoustafaS

                                      :laugh: Taking your word, "The most obvious solutions are not right". Also I put this puzzle specially for you.


                                      About : Islam
                                      About : Me

                                      R Offline
                                      R Offline
                                      Raj Lal
                                      wrote on last edited by
                                      #18

                                      oh i am flattered :) i should have given more time to the question btw good one

                                      Omit Needless Words - Strunk, William, Jr.


                                      Vista? Cryptography Next Generation (CNG) here

                                      M 1 Reply Last reply
                                      0
                                      • R Raj Lal

                                        oh i am flattered :) i should have given more time to the question btw good one

                                        Omit Needless Words - Strunk, William, Jr.


                                        Vista? Cryptography Next Generation (CNG) here

                                        M Offline
                                        M Offline
                                        MoustafaS
                                        wrote on last edited by
                                        #19

                                        Nice one in fact, what about your new puzzles, do you have ?:rolleyes:


                                        About : Islam
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                                        • M MoustafaS

                                          Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm


                                          About : Islam
                                          About : Me

                                          N Offline
                                          N Offline
                                          Nish Nishant
                                          wrote on last edited by
                                          #20

                                          LongHC wrote:

                                          Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm

                                          :jig:

                                          Regards, Nish


                                          Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                                          My latest book : C++/CLI in Action / Amazon.com link

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