Calculate the Shaded Area | Circle Inscribed in Semicircle

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  • Опубліковано 26 сер 2024
  • Welcome to the latest math challenge! In this video, we'll solve an intriguing geometry problem: calculating the shaded red area of difference between a circle inscribed in a semicircle. With a semicircle with a base divided into segments of 8 units and 2 units, I'll break down the problem step-by-step and use geometric principles to find the area of the shaded red regions.
    📐 What You'll Learn:
    - How to approach geometric problems involving circles and semicircles.
    - The method to calculate areas using basic geometric formulas.
    - Tips and tricks to simplify complex geometry problems.
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    Happy learning and see you in the video!
    #Geometry #MathChallenge #ShadedArea #CircleAndSemicircle

КОМЕНТАРІ • 11

  • @bkp_s
    @bkp_s 18 днів тому

    Great lessons in a row!!!

  • @AFSMG
    @AFSMG 13 днів тому

    excelente, maravilloso

  • @YouTubist666
    @YouTubist666 Місяць тому +1

    Great explanation. You make it look so easy.👍

  • @franciscook5819
    @franciscook5819 Місяць тому +1

    You explained it well.
    I did it a similar way (prior to viewing the video) - using (free to use) geogebra (the downloadable classic version) to draw the diagram. I just used different labels and proceeded in a different order.
    First I solved as you did for R=r+5.
    Then I constructed the radius from O to Q to the common tangent,
    looking at triangle OPQ, giving triangle hypotenuse = 5 (as you did).
    Lastly I summed the right hand R radius as you did, giving triangle side length 3.
    3,4,5 Is a right triangle so the missing side r=4, R=9 giving the result which you have.

  • @richardwaters2742
    @richardwaters2742 Місяць тому +1

    Excellent!

  • @cvb-bm5dg
    @cvb-bm5dg Місяць тому

    Well done! Especially the graphic.