3 Circles, 1 Rope – How Long Is It?

Comments · 664

• MA

  @MathQueenSusanne · 9 months ago · pinned

  So many of you have asked me how you can support me or give a little gift. So, I’ve put together an Amazon wishlist: <a href="https://a.co/5bGdTX6">https://a.co/5bGdTX6</a> <br>Thank you from the bottom of my heart for thinking of me and supporting me in this way! Your support makes everything I do here possible, and I appreciate each and every one of you. ❤

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• ST

  @StanDavid-ix6yk · 9 months ago

  Learning math has never been so pleasant. &nbsp; &nbsp;Thank you

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• OD

  @Ody-up6kg · 5 months ago

  I am somewhat proud of myself. I finally solved one of your puzzles!

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• ES

  @estudiantes68 · 9 months ago (edited)

  At first glance, the total length appears to be 2 pi + 6.<br>On each circle, the curved section of the rope covers one-third of the circumference. Therefore, the total length for the three curved sections is 3 ( 2 pi / 3). The three straight sections each have a length of 2 (the diameter), totaling 3 ( 2 ) = 6. <br>Adding these together, the final answer is 2 pi + 6.

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• MO

  @mohabatkhanmalak1161 · 9 months ago

  This is used a lot in engineering to calculate lengths of belts around pulleys and chains, rope in lifting mechanisms. We use formulae most of the time. Thank you Susanna. 🐞

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• BI

  @bigk3146 · 9 months ago

  a practical use of this calculation is, when you install a power electrical circuit in an industry the cables have sizes &nbsp;that have to be single cables forming a 3 phase circuit, and these cables have to be tied up with a cable tie, so we have to calculate the lenght of the cable tie that go around the 3 cables

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• AN

  @anarcowhatever · 8 months ago

  In machining, we use trig and geometry problems like this all the time, and it&apos;s usually my favorite part of a job.

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• TM

  @tmhall9 · 3 months ago

  It’s probably been 30 years since I’ve done any of the math in your videos. &nbsp;Your videos have been a fun refresher and I’m pleased that I can still solve many of them on my own - pretty quickly too. &nbsp;You are so good at explaining the solutions, I think most students would benefit from watching your videos. &nbsp;Thank you.

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• AN

  @antonio_carvalho · 9 months ago

  I feel so smart just by following it along even thought I couldn&apos;t do it myself 😂 Thank you for the (as always) excellent explanation!

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• AL

  @allosdev · 8 months ago

  The thing i like about these videos is the way the teacher pulls out all the (non-obvious) details before trying to do anything mathematical. &nbsp;That helps me to see how great math is for teaching me to think differently. &nbsp;I&apos;m older &amp; not good at math so when we got to the end &amp; @MathQueenSusanne started explaining that we could just add up the (partial circles via angles) into 1 circle I thought she was saying that one large circle could be made by connecting all three partial circles. &nbsp;I couldn&apos;t see how that would be true. &nbsp;Finally, after staring a long time at it, I saw that she meant that since 120 deg is 1/3 of any circle that we could calculate the circumference of the entire circle that had a radius of 2. &nbsp;Wow, that took me a while. &nbsp;Thanks for great explanations.

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• PA

  @patmcmahon7022 · 9 months ago

  Suzanna, your videos are now a part of my morning routine. First I solve the New York Times Wordle game and then move on to your math problems. So fun and really gets my brain moving.

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• SI

  @simonlane1277 · 5 months ago

  I wish my maths teachers were like Suzanne. &nbsp;I wouldn&apos;t have missed a thing

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