#Radius Geometry

🔺📐How do you feel about geometry? Raise your hand if it’s your favorite subject! 🙋‍♂️🙋‍♀️ And if it’s not, what’s your favorite? Let us know in the comments! 👇 Video credit: @your.big.brain.tutor . . . #OmegaLearningCenter #virtualschool #schoolsupport #onlineteaching #educationdoral #doralkids #SATstudents #DoralFlorida #DoralMiami #DoralFl #parentingtips #parents #math #mathhelp #mathtutor #geometry

A very interesting geometry puzzle. The two circles, each of radius 5 cm, are tangential. The line is tangent to both circles, and the circles barely touch the square at two adjacent vertices. Find the area of this square. There are alternative methods to solve this problem, so if you have a different solution, make sure to comment it below. #math #puzzle #geometry #algebra #smart

Visual Proof of Sin(α+β) Formula Using Triangle Area | Step-by-Step Geometry Explanation #maths #trigonometry #mathematics #jeemains Did this visual proof help you understand sin(α+β) better?

The area of a circle measures how much space is enclosed within its boundary, and it grows much faster than the radius itself. If you double the radius, for instance, the area becomes four times larger. This relationship comes from the way circles scale: the radius stretches both the horizontal and vertical directions of the shape at the same time, so the total space increases with the square of the radius. The constant that ties everything together is π, which captures the ratio between a circle’s circumference and its diameter, and appears naturally whenever circular shapes are involved. One intuitive way to understand the area formula is to imagine cutting the circle into many thin slices, like pieces of a pizza, and rearranging them alternately. As the slices become thinner, the rearranged shape begins to resemble a rectangle. The height of this “rectangle” corresponds to the radius, and the length approaches half of the circle’s circumference. Multiplying these two dimensions gives half the circumference times the radius—which simplifies to π times the radius squared. This geometric perspective helps show why the familiar formula for the area of a circle isn’t arbitrary, but a direct consequence of how circular geometry behaves. Like this video and follow @mathswithmuza for more! #math #maths #mathematics #learn #learning #foryou #coding #ai #chatgpt #study #circle #shapes #area #physics #studying #algebra #calculus #school #highschool #college #university #fyp #explore #reels #animation #manim

✨️Full Manim code — easy, fully explained & customizable. Link in bio. ✨️The equation of a circle is derived directly from the distance formula and the Pythagorean theorem. Any point (x, y) on the circle is at a fixed distance—the radius r—from the center (a, b). ✨️The horizontal and vertical differences, (x - a) and (y - b), form the legs of a right triangle, with the radius 'r' as the hypotenuse. Applying the Pythagorean theorem, the square of the distance is (x - a)² + (y - b)². Setting this equal to r² gives us the fundamental equation of a circle: (x − a)² + (y − b)² = r². ✨️This formula in coordinate geometry allows us to plot any circle. Watch as we animate this derivation and then change parameters a, b, and r to show how the circle translates and scales in the Cartesian plane. #circleequation #fyp #likeme #studygram #pythagoras #mathematics #math ❓️What’s the centre and radius of a circle in (x – 2)² + (y + 3)² = 25 ?

Algebraic Surface

🔹 Negative Determinant in 3D In linear algebra, a linear transformation f: V → V between vector spaces can be represented by a matrix once we fix an input basis B1 and an output basis B2. The notation M(f, B1, B2) denotes the matrix of f with respect to these bases. How is it built? Take each vector of the input basis B1 = {v1, v2, v3}. Compute its image: f(v1), f(v2), f(v3). Express each image in coordinates with respect to the output basis B2. Place these coordinate vectors as the columns of the matrix. So M(f, B1, B2) encodes, column by column, the coordinates of the images of the basis vectors of B1. If we use the same basis for both input and output (for example, the canonical basis B of R³), then M(f, B, B) directly tells us the transformed vectors in the same coordinate system. In the example we are visualizing: The vector e1 (the x-axis unit vector) remains unchanged. The vector e3 (the z-axis unit vector) also remains unchanged. The vector e2 (the y-axis unit vector) flips direction: from (0,1,0) to (0,−1,0). This creates a very typical situation: The parallelepiped generated by {f(e1), f(e2), f(e3)} has the same volume as that generated by {e1, e2, e3}. But the orientation changes: the cyclic order of the vectors no longer follows the right-hand rule, but instead the left-hand rule. 👉 The determinant captures exactly this: If det > 0, the orientation of the basis is preserved. If det < 0, the orientation is reversed. In this case, det(M(f,B,B)) < 0, which tells us the transformation preserves volume but flips orientation, just like a reflection in a mirror. #math #maths #physics #merlinomath

Circular Lissajous Curves "A collection of stable harmonics computed via implementation of simple rules. I'm endlessly fascinated in the notion that such complex behaviors can emerge from the maintenance of such basic, procedural displacements in time and space." by Evan Seitz There exists an underlying mathematical fractal matrix forming all reality, which can be evidenced in all scales of the universe. Rosette curves are an example of the omnipresent self-similar fractal patterns which exists "Above & Below", in the Micro & Macro scales. These curves are a part of a universal system called by some as "Sacred Geometry". #MathCurves #MathematicalCurve #Curves #CircularLissajous #SphericalLissajous #Lissajous #LissajousCurve #LissajousPattern #Geometry #GeometricCurve #Orbitals #PolarRose #RoseCurve #Fractal #TorusKnot #Torus #Hypotrochoid #Spirograph #Cycles #Vibration #Electromagnetism #FlowerOfLife #SeedofLife #RadialSymmetry #Science #Rotational Symmetry #Physics #Spiral #SacredGeometry

✨ "Mind-Blowing Geometry! 🔥📐 #viralHaiStack #geometry #math #science #satisfying #amazing #fyp"

My first ever complete geometry nodes blender project, created and tested in Blender 4.0+, it's based on curves, meaning it's very flexible and you can draw it on surfaces, You can use it for anything except selling it. It's under CC0 license. The link is in my linktr.ee in my bio If you make something with it I'd love to see it. #b3d #free #geometrynodes #road #giveaway

Stop Memorizing, Start Visualizing! 🧠✨ Ever wondered why math teachers are so obsessed with Radians? Or why 3.14 is suddenly everywhere? This 25-second breakdown is about to make your trigonometry classes actually make sense. In this video, we peel back the mystery of the circle. We show you exactly how the radius of a circle literally wraps around its own edge to create a radian. What you’ll learn: The literal definition of 1 Radian (it’s just the radius taking a walk!). Why a half-circle equals \pi radians ($ \approx 3.14$ units). The simple math behind 360^\circ = 2\pi. Whether you're prepping for an exam or just want to understand the universe a little better, this is the visual guide you’ve been looking for. Save this for your next study session! 📌#️⃣ Viral Hashtags #MathIsBeautiful #Geometry #StemTok #StudyTips Mathematics Physics Education VisualizeMath SchoolLife PiDayEveryday Trigonometry

#matematik #radius #math #mathteachers #geometry