Four circles of radius 4 are inscribed in a square. Area of the shaded region =? EASY than it looks!

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  • Опубликовано: 28 окт 2024

Комментарии • 18

  • @moonwatcher2001
    @moonwatcher2001 2 месяца назад +1

    • @Zadoramaths
      @Zadoramaths  2 месяца назад +1

      @@moonwatcher2001 thanks 🙏

  • @bpark10001
    @bpark10001 2 месяца назад +1

    The 64 is part of the white area, so it should be subtracted from the area of the large square, not added. At 3:50 in video, last line, there should be parentheses after the minus sign enclosing (48 pi + 64)

    • @Zadoramaths
      @Zadoramaths  2 месяца назад

      @@bpark10001 l agree the 64 should be subtracted, there should be parentheses, sorry about that .

  • @colinmccarthy7921
    @colinmccarthy7921 2 месяца назад +1

    You use Mathematics to solve
    the solution.It’s not what
    you do,it’s how you do it.

  • @robguyatt9602
    @robguyatt9602 2 месяца назад +1

    Sorry but the answer is 158.224. Your answer is greater than the large square area.
    I used this equation
    Shaded = BigSq - LittleSq - 3/4 of 4 circles.

    • @Zadoramaths
      @Zadoramaths  2 месяца назад +1

      @@robguyatt9602 hi , yes you are right ,the answer is approximately 158.2 forgot to insert the bracket at 3:50 point in the video

  • @luquest1848
    @luquest1848 2 месяца назад +1

    Isn't it 64 minus 16pi?

    • @Zadoramaths
      @Zadoramaths  2 месяца назад +1

      @@luquest1848 thanks for commenting, not quite , 64 is the area of the inner square, not sure how you got 16 Pi ?

    • @luquest1848
      @luquest1848 2 месяца назад +1

      Thanks my bad 😅

    • @luquest1848
      @luquest1848 2 месяца назад +1

      I was calculating the pincushion area in the middle...duh!

    • @Zadoramaths
      @Zadoramaths  2 месяца назад

      @@luquest1848 👍 no problem

    • @Zadoramaths
      @Zadoramaths  2 месяца назад

      @@luquest1848 ok l see , to be fair at first glance of the diagram? l can relate !

  • @catherinegrimes2308
    @catherinegrimes2308 2 месяца назад +1

    I am terribly sorry but this video looks a bit rushed in that in your title it states that the radius is 5, but you did the maths with a radius of 4. This was disappointing for me because I did the maths with a radius of 5 before looking at the video and had to redo my calculations.
    Also your equations are incorrect in that the 64 should be subtracted and not added.
    Furthermore your arithmetic was incorrect as well. From my calculations I had:
    Area of the large outer square = 373.0193
    Area of the 4 partial circles = 150.7964
    Area of the small inner square = 64
    By subtracting the partial circles' area and the inner square area from the large outer square area, my answer was 158.229.
    Using these values, I couldn't replicate your answer and the nearest that I got was 437.0193 and that was by adding the small inner square area to the large outer square area. That value and your answer were both larger than the area of the large outer square.
    I used Microsoft Excel to calculate the terms and to the final area and would recommend using that program when performing calculations.
    Apart from that, you correctly identified the method to split up the regions in order to calculate the area of the shaded region.
    Your graphics and presentation were very good.
    However, even more importantly, I could sense the enthusiasm in your voice. In a way you reminded me of the man who does the Prime Newtons RUclips channel, because he is always very enthusiastic.
    Please continue to do these videos because maths is very important and will be even more important in the future. Hopefully your videos will encourage children to study maths and even have a career in STEM.

    • @Zadoramaths
      @Zadoramaths  2 месяца назад +1

      You are right! , thank you for your feedback, I have now changed the title. I did start my calculations with radius of 5 the changed it to 4, but forgot to change the title. I am terribly sorry that you had to start your calculations and then have to change it, I know that is annoying. I have to say it took a while to figure out where I made the mistake, but yes I eventually found it, forgot to put brackets to subtract 64. I do honestly thank you for pointing this out.
      Thank you for recommending Microsoft Excel to check calculations, I will try having a go at it, and is there any other software you recommend?, I am currently looking around at the moment.
      I hadn't come across Prime Newtons channel until then , very interesting! Thank you once again for pointing this out to me. I will copy your answers and paste it on here. I will definitely redo this video. Thank you.

    • @bpark10001
      @bpark10001 2 месяца назад +1

      An easy way out of your fix (instead of calculating over) is to scale your first answer by (4/5) squared.

    • @Zadoramaths
      @Zadoramaths  2 месяца назад +1

      @@bpark10001👍