Circle Area Derivation (visual proof)

This is a classic visual proof showing how to think about the area formula for a circle.

#manim #math #mathshorts #visualproof #proofwithoutwords #mathvideo #theorem

___________________________
Music in this short:
Attribution 4.0 International (CC BY 4.0)

[enekaitzteixeira]

Holy shit. You just caused me to have a mindgasm. We often forgets that mathematical formulas aren't random arbitrary operarions but an actual description of the universe... I wish I had seen this when I was a kid. Thank you so much for this.

[NumbToons]

Can you do a visual for area of sphere?

[gravitrax]

I hereby unleash the great debate:
Use Tau instead of 2xPi

[daydifference]

How is the length of the side pi r? Oh it’s half the length of the circumference. NVM

[Zoba]

The edges of the rectangle will never be fully straight.

[jakobwhaley]

This was devised by leonardo de vinci if im not mistaken

[NoorazMahmud]

Biggest slice of pizza at a class party 💀

[himadrikhanra]

Fringe formation....optics...most probably lamda/ 2d...de boglie?

[jeevanandham]

Path of a projectile is a parabola,
Derivation for this👆

[ericarmstrong]

Visual proof isn't proof. We can only visualize to a certain degree. So, making an animation with no calculations is an illusion of proof. That's why in school you have to show your math. Using a high-powered means of perceiving will show it's not a prefect rectangle, and we as humans are just going with what works for us.

[DigitalLife]

PYTHAGORAS WANTS TO KNOW YOUR LOCATION

[Edvit]

bro is out here inventing the most complicated ways to calculate
here's how to do it
pi * radius²