Area of Circle — Formula Derivation (Proof), Example
Website: https://math-stuff.com
In this video we derive the formula for the area of a circle. To derive it, we use the formula for the circumference (perimeter) of a circle. We show that the area of a circle is equal to the area of a rectangle whose one side is equal to the radius of the circle and the other side is equal to one half of the circumference. In the end, we use the formula for the area of a circle in an example.
Timestamps:
00:00 - Intro
00:13 - Circumference of a Circle
00:41 - Dividing Circle into Parts
01:30 - Various Numbers of Parts
01:47 - Formula for the Area of a Circle
02:28 - Example
03:58 - Bonus Problem
Image credit (Thumbs Up):
Image https://pixabay.com/users/OpenClipart... by OpenClipart-Vectors https://pixabay.com/users/OpenClipart... from Pixabay https://pixabay.com/