Equal Perimeters and Areas Problem — Annulus (Circular Ring) with Equal Perimeter and Area as Square
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In this video we find an annulus (circular ring) that has the same perimeter and the same area as a given square. We also show visually what each condition gives us separately. That is, we visually represent annuli that have the same perimeter as the square, and we visually represent annuli that have the same area as the square. Then we show them side by side. Combining the two conditions - the condition for equal perimeters and the condition for equal areas, we get the solution to our problem.
Previous video on annulus: • Area of Annulus (Circular Ring) — Two Form...
Timestamps:
00:00 - Statement of the Problem
01:13 - If There Were No Conditions
02:10 - Equal Perimeters Condition
03:42 - Equal Areas Condition
05:17 - Comparison of the Two Conditions
05:47 - Solving Problem
09:30 - Solution Visualized
09:47 - 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/