Calculate the length X | Three circles inscribed in a rectangle | (Easy explanation) |

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  • Опубліковано 6 вер 2024

КОМЕНТАРІ • 76

  • @arnavkange1487
    @arnavkange1487 Рік тому +3

    Very nice trick .....I love these type of sums

    • @PreMath
      @PreMath  Рік тому

      Thanks for liking
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

    • @ismailemroz6737
      @ismailemroz6737 Рік тому +1

      ​@@PreMathnsz😊ss,

  • @marioalb9726
    @marioalb9726 Рік тому +4

    sin α = (18-12) / (18+12)
    α = 11,537°
    sin β = (18x2-12-9) / (12+9)
    β = 45,585°
    X = (18+12)cosα + (12+9)cosβ
    X = 44,09 cm ( Solved √ )

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @miraclesofmaths9728
    @miraclesofmaths9728 Рік тому +6

    OMG! I have solved this

    • @PreMath
      @PreMath  Рік тому +2

      Bravo!
      You are awesome. Keep it up 👍

  • @luigipirandello5919
    @luigipirandello5919 Рік тому +3

    Com sua explicação fica fácil entender. Muito obrigado mestre.

    • @PreMath
      @PreMath  Рік тому +1

      You are very welcome!
      Thank you! Cheers! 😀
      You are awesome. Keep it up 👍

  • @miraclesofmaths9728
    @miraclesofmaths9728 Рік тому +1

    Put various sums in applied , pure maths. I am waiting...

  • @advancedintention7169
    @advancedintention7169 Рік тому +2

    Awesome.... thanks sir

    • @PreMath
      @PreMath  Рік тому +1

      You are very welcome!
      Thank you! Cheers! 😀
      You are awesome. Keep it up 👍

  • @madhusudangupta3661
    @madhusudangupta3661 11 місяців тому

    CB is 6√2 on text bottom line (10:33). I got it as 6√6!

  • @soli9mana-soli4953
    @soli9mana-soli4953 Рік тому +1

    18√ 6 applying Pythagorean theorem

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @pranavamali05
    @pranavamali05 Рік тому +1

    👌👍

    • @PreMath
      @PreMath  Рік тому +1

      Thank you! Cheers! 😀
      You are awesome. Keep it up 👍

  • @murdock5537
    @murdock5537 Рік тому +1

    Nice! AD =18; AD' = AD + 6 = 24; DE = 30 → DD' = 6 → D'E = √(900 - 36) = 12√6
    QE = 15; EF = 21 → QF = √(441 - 225) = 6√6 → x = D'E + QF = AB = 18√6

    • @PreMath
      @PreMath  Рік тому +1

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @KAvi_YA666
    @KAvi_YA666 Рік тому +1

    Thanks for video.Good luck sir!!!!!!!!!!

    • @PreMath
      @PreMath  Рік тому +1

      Thank you too
      You are awesome. Keep it up 👍

  • @parthtomar6987
    @parthtomar6987 Рік тому +2

    Nice construction

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @ebrahimnedham5646
    @ebrahimnedham5646 Рік тому +1

    Thanks for your continuous effort👍
    There is a small writing error in the bottom right of the screen starting at minute 9:40.
    It says CB=6^2 instead of 6^6.

    • @PreMath
      @PreMath  Рік тому

      My apologies!
      I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @ZUBAIR457
    @ZUBAIR457 6 місяців тому

    Interesting ❤

  • @mvrpatnaik9085
    @mvrpatnaik9085 Рік тому

    Explanation is fantastic

  • @MarcoPolo-xu9te
    @MarcoPolo-xu9te 11 місяців тому

    I solved it all by myself in 5 mnutes, and got ir right...I'm so proud of myself...

  • @JamesAdams-ev6fc
    @JamesAdams-ev6fc Рік тому +1

    And the long side of the rectangle is 27+18xsqrt(6), the short side is 36 and the area is (27+18xsqrt(6))(36).

    • @PreMath
      @PreMath  Рік тому +1

      Super!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

    • @JamesAdams-ev6fc
      @JamesAdams-ev6fc Рік тому +1

      @@PreMath Love the videos wish you had been my teacher. 🙁🥸

    • @PreMath
      @PreMath  Рік тому

      @@JamesAdams-ev6fc
      Thanks dear
      You are the best!

  • @AmirgabYT2185
    @AmirgabYT2185 5 місяців тому +1

    x=18√6≈44,1

  • @amralashmawi1888
    @amralashmawi1888 Рік тому +1

    CB = 6 SQUARE ROOT OF 6 ... CORRECT RIGHT SIDE ... GREAT JOB ... THANK YOU

    • @PreMath
      @PreMath  Рік тому

      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

    • @amralashmawi1888
      @amralashmawi1888 Рік тому

      @@PreMath You are more than welcome

  • @Badmintonforall
    @Badmintonforall Рік тому +2

    love your accent !

    • @PreMath
      @PreMath  Рік тому

      Thank you! 😃
      You are awesome. Keep it up 👍

  • @lzuluaga6064
    @lzuluaga6064 Рік тому

    Colocó 6 raíz cuadrada de 2.

  • @Atharva-jf7cq
    @Atharva-jf7cq 11 місяців тому

    Thanks sir

  • @mohabatkhanmalak1161
    @mohabatkhanmalak1161 Рік тому +1

    Nice, enjoyed working it out.☀

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @bigm383
    @bigm383 Рік тому +1

    Thanks Professor!❤️📐😀

    • @PreMath
      @PreMath  Рік тому +1

      My pleasure!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @murphygreen8484
    @murphygreen8484 Рік тому +1

    Your CB value in the bottom right is incorrect at the end of the video

    • @PreMath
      @PreMath  Рік тому

      My apologies!
      I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @Copernicusfreud
    @Copernicusfreud Рік тому +1

    Yay! I solved the problem.

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @amiramy48
    @amiramy48 Рік тому +1

    there seems to be a mistake in copying from one step to the next towards the end. CB=6 sqrt(6) and then CB = 2 sqrt(6) ??

    • @PreMath
      @PreMath  Рік тому

      My apologies!
      I made the video at midnight. I made that silly mistake. Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @raya.pawley3563
    @raya.pawley3563 Рік тому +1

    Thank you!

    • @PreMath
      @PreMath  Рік тому

      You are very welcome!
      Thank you! Cheers! 😀
      You are awesome. Keep it up 👍

  • @misterenter-iz7rz
    @misterenter-iz7rz Рік тому +1

    6sqrt(24)+3sqrt(24)=9sqrt(24)=18sqrt(6), a bit late for broken knee in Hospital now.😟

    • @PreMath
      @PreMath  Рік тому

      Get well soon!
      Love and prayers from the USA! 😀

  • @endardwiMTK
    @endardwiMTK Рік тому +1

    very nice video, ❤

    • @PreMath
      @PreMath  Рік тому

      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @mohanramachandran4550
    @mohanramachandran4550 Рік тому +1

    Simple sum

    • @PreMath
      @PreMath  Рік тому

      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @e1woqf
    @e1woqf Рік тому +1

    √(30²−6²)+√(21²−15²)=44,0908

    • @PreMath
      @PreMath  Рік тому

      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @wackojacko3962
    @wackojacko3962 Рік тому +1

    Lotsa fun! 🙂

    • @PreMath
      @PreMath  Рік тому +1

      Excellent!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @gautalawrencebusa7474
    @gautalawrencebusa7474 Рік тому +1

    I solved in 5 min or so.

    • @PreMath
      @PreMath  Рік тому

      Bravo
      You are awesome. Keep it up 👍

  • @giuseppemalaguti435
    @giuseppemalaguti435 Рік тому +1

    x=18sqrt6

    • @PreMath
      @PreMath  Рік тому

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍

  • @JSSTyger
    @JSSTyger Рік тому +1

    I've decided to guess....25. I went part way but just didn't have what it took to finish it.

    • @JSSTyger
      @JSSTyger Рік тому

      Nevermind. I thought the 18, 12, and 9 were areas.

    • @PreMath
      @PreMath  Рік тому

      No worries!
      Thanks for your feedback! Cheers! 😀
      You are awesome. Keep it up 👍

  • @comdo777
    @comdo777 Рік тому

    asnwer=25cm isit

    • @batavuskoga
      @batavuskoga Рік тому

      How do you get 25 ? By the way, it's not a correct answer

    • @JSSTyger
      @JSSTyger Рік тому

      @@batavuskoga Well I assumed the numbers given were areas and think the answer would be close to 25 if thats the case.

    • @batavuskoga
      @batavuskoga Рік тому +1

      @@JSSTyger not possible
      area=π*r², so r=sqrt(area/π)
      blue circle radius= app. 2.4, area 18
      yellow circle radius= app. 1.95, area 12
      green circle radius= app. 1.69, area 9
      height of the rectangle = app. 4.8, much smaller than your answer
      I calculated x would be about 7.77 in that case