Calculate the Shaded Area | Circle Inscribed in Semicircle

Рет қаралды 5,414

Күн бұрын

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

Пікірлер: 11

@bkp_s 13 күн бұрын

Great lessons in a row!!!

@AFSMG 7 күн бұрын

excelente, maravilloso

@YouTubist666 Ай бұрын

Great explanation. You make it look so easy.👍

@ThePhantomoftheMath Ай бұрын

@@YouTubist666 Thank you friend! So glad you liked it!

@franciscook5819 Ай бұрын

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.

@ThePhantomoftheMath Ай бұрын

Really nice! Great job!