πr² Proved Visually! Circle to Rectangle Magic in 60 Secs!

Описание: Why does a circle's area equal πr²? Watch this genius visual proof unfold in 30 seconds—turning pizza slices into a perfect rectangle! Ideal for Class 11/12 students and IIT JEE aspirants mastering geometry.

Here's the magic: Slice the circle into sectors (like pie pieces). Rearrange them alternating pointy ends up and down—they form a rectangle-like shape! The "height" approximates the radius r, and the "length" is half the circumference (πr). So area ≈ πr × r = πr².

The more slices you use (fewer gaps), the smoother the rectangle—limit to infinity gives the exact formula! This Archimedean method reveals why π emerges from circles, connecting arc length, limits, and calculus intuitively.

No equations needed—just pure visualization for JEE conics, mensuration, and integration prep. See 8 slices → jagged rectangle → infinite slices → perfect πr²!

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