Why is the area of a circle equal to π r² ??? 2000 year old proof, but with pizza.

Why is the Area of a Circle pi r^2? How can we show that? The argument in this video will go back to Archimedes and the Ancient Greeks. We will take a pizza and keep cutting it up into smaller and smaller pieces, each time rearranging those pieces into a new shape that looks more and more like a rectangle. Then we compute the area of the rectangle and that will give us pi r^2. This techniques uses the idea of a limit, one of the central ideas in modern Calculus. ²

****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************

►Full Course Playlist: CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m

****************************************************
Other Course Playlists:

►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n

►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS

►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6

***************************************************

► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho

*****************************************************

►Check out my 2nd Channel for lower production quality "live" math videos: https://www.youtube.com/channel/UCFNL8G1CZ4dH0p-Jf7UXqdQ

*****************************************************

►Follow me on Twitter: http://twitter.com/treforbazett

*****************************************************

This video was created by Dr. Trefor Bazett

BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join

MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

Видео Why is the area of a circle equal to π r² ??? 2000 year old proof, but with pizza. канала Dr. Trefor Bazett