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#2pir Reel by @quantumquesterr - The "Mind-Blowing" Approach Ever wonder why \pi is everywhere? 🌌 From the simple area of a circle to the complex fabric of the universe (looking at y
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@quantumquesterr
The "Mind-Blowing" Approach Ever wonder why \pi is everywhere? 🌌 From the simple area of a circle to the complex fabric of the universe (looking at you, Cosmological Constant!), this one number connects everything. Watch how a circle transforms into a rectangle to prove A = \pi r^2, and then see \pi show up in places you’d never expect—like planetary orbits and infinite series. Math is the universal language for a reason. #mathematics #pi #physics #science #geometry calculus stem education satisfying visualproof engineering universe mathrock stemeducation elearning
#2pir Reel by @ciencias.tv - Derivada de una función f:ℝ→ℝ #Matemáticas #Geometría #Cálculo #Límite #Derivada #CálculoDiferencial #CeroForma #FormasDiferenciales #TeoremaDeStoke
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@ciencias.tv
Derivada de una función f:ℝ→ℝ #Matemáticas #Geometría #Cálculo #Límite #Derivada #CálculoDiferencial #CeroForma #FormasDiferenciales #TeoremaDeStokes 🎞 MagicPi2
#2pir Reel by @explainknowledge - The surface area of a sphere is calculated using the formula 4\pi r^2, where r is the radius of the sphere. This formula comes from geometry and shows
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@explainknowledge
The surface area of a sphere is calculated using the formula 4\pi r^2, where r is the radius of the sphere. This formula comes from geometry and shows that a sphere’s surface area depends only on how far its surface is from the center. No matter the size, every sphere follows this same rule—if the radius increases, the surface area grows with the square of the
#2pir Reel by @arhitectura.constructii - ⚛️⚛️ Impressive data visualization demonstrating graphically why the area of a circle is (PI x r^2). The power of visual learning is unbeatable when p
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@arhitectura.constructii
⚛️⚛️ Impressive data visualization demonstrating graphically why the area of a circle is (PI x r^2). The power of visual learning is unbeatable when properly explained. When science and engineering are well put, STEM become powerfully attractive any generation. What do you think? #STEM #science #engineering hashtag#education hashtag#data #datavisualization 🎥 by Mathematicsonline Learn more about Technology, Construction, and Design following ⤵️ @Catalin Neagu https://www.linkedin.com/in/catalin-neagu-18bb51140/?utm_medium=referral&utm_source=contentstudio.io -- ➡️ I created #engineeringwithcatalin to track my previous posts, si #ingineriecucatalin ➡️ If you want to be notified when I post, visit my profile and then tap the subscription bell 🔔
#2pir Reel by @info_nexus - How the Surface Area of a Sphere Is Calculated 🌍📐 The total outer area of a sphere is found using this formula: \textbf{Surface Area = 4\pi r^2}
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@info_nexus
How the Surface Area of a Sphere Is Calculated 🌍📐 The total outer area of a sphere is found using this formula: \textbf{Surface Area = 4\pi r^2} Where: r = radius of the sphere π (pi) ≈ 3.1416 🔎 What Does It Mean? The radius is the distance from the center to the surface. You square the radius (r²). Then multiply by 4π. This gives the entire curved area covering the sphere. 🧠 Why 4πr²? One intuitive way to understand it: The area of a circle is πr². A sphere’s total surface area turns out to be four times the area of its largest circle (called a great circle). So: 4 \times (\pi r^2) = 4\pi r^2 This elegant relationship is one of geometry’s most beautiful results. 📘 Shared for educational purposes. DM for credit/removal (No copyright intended). Follow @info_nexus #math #geometry #education #knowledge #pi
#2pir Reel by @sidhdhi_varma - #🤣🤣🤣🤣🤣 https://www.instagram.com/reel/DS3b1ROku0P/?igsh=MTVkdGt1cjFjd2piOQ==
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@sidhdhi_varma
#🤣🤣🤣🤣🤣 https://www.instagram.com/reel/DS3b1ROku0P/?igsh=MTVkdGt1cjFjd2piOQ==
#2pir Reel by @ownownown - Proof C=2\pi r │ ├─ 1) Circle equation │ x^2 + y^2 = r^2 │ Take top half: y = sqrt(r^2 − x^2), x ∈ [−r, r] │ ├─ 2) Differentiate │ dy/dx = −x / sqr
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@ownownown
Proof C=2\pi r │ ├─ 1) Circle equation │ x^2 + y^2 = r^2 │ Take top half: y = sqrt(r^2 − x^2), x ∈ [−r, r] │ ├─ 2) Differentiate │ dy/dx = −x / sqrt(r^2 − x^2) │ (dy/dx)^2 = x^2 / (r^2 − x^2) │ ├─ 3) Arc-length formula │ L = ∫_a^b sqrt(1 + (dy/dx)^2) dx │ ⇒ L_semi = ∫_{−r}^{r} sqrt(1 + x^2/(r^2 − x^2)) dx │ ├─ 4) Simplify integrand │ sqrt(1 + x^2/(r^2 − x^2)) = r / sqrt(r^2 − x^2) │ ⇒ L_semi = ∫_{−r}^{r} r / sqrt(r^2 − x^2) dx │ ├─ 5) Trig substitution │ let x = r sinθ, dx = r cosθ dθ │ limits: x=−r→θ=−π/2, x=r→θ=π/2 │ ⇒ L_semi = ∫_{−π/2}^{π/2} r dθ = rπ │ ├─ 6) Full circumference │ C = 2 · L_semi = 2πr
#2pir Reel by @ciguenamengibar - ALUCIFLIPANTE #corpuschristi #2024 #2pir #mengibar #jaen #comunionesjaen @ciguenamengibar
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@ciguenamengibar
ALUCIFLIPANTE #corpuschristi #2024 #2pir #mengibar #jaen #comunionesjaen @ciguenamengibar
#2pir Reel by @flexmaths - Hook: I was today years old when I finally understood the Area of a Circle. 🤯Body: We all spent years in school memorizing A = pi*r^2, but nobody eve
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@flexmaths
Hook: I was today years old when I finally understood the Area of a Circle. 🤯Body: We all spent years in school memorizing A = pi*r^2, but nobody ever showed us the pizza trick. 🍕Watch how slicing a circle into infinite sectors actually creates a rectangle. If the width is pi*r and the height is r... the math just clicks. #math #geometry #pi #stemeducation #visuallearning
#2pir Reel by @2pirdesign (verified account) - Every project tells a story; more than the creative process it's the vision behind each concept , leading the direction of the many decisions in the p
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@2pirdesign
Every project tells a story; more than the creative process it’s the vision behind each concept , leading the direction of the many decisions in the process. Park Hyatt Beijing by @2pirdesign
#2pir Reel by @kisabilgiiii - Bir dairenin alanının A = \pi r^2 olduğunu hepimiz biliyoruz. Peki ama neden? Bu videoda, 12 kenarlı bir poligon üzerinden dairenin alanının aslında
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@kisabilgiiii
Bir dairenin alanının A = \pi r^2 olduğunu hepimiz biliyoruz. Peki ama neden? Bu videoda, 12 kenarlı bir poligon üzerinden dairenin alanının aslında nasıl 3 tane yarıçap karesinden (3r^2) biraz daha fazla olduğunu görsel olarak görüyoruz. Kenar sayısı arttıkça şekil kusursuz bir daireye dönüşür ve alan tam olarak 3,14... yani \pi r^2 olur. Matematiğin en temel formüllerinden birinin arkasındaki bu estetik mantığı keşfedin!++ Dairenin alanı 3 kareden biraz daha büyüktür, işte o fazlalık \pi sayısını 3.14 yapar! #matematik #geometri #bilim #fizik #eğitim

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