matthen:

Unrolling these circles fills a triangle with base 2 π r and height r (where r is the radius of the filled disk). Such a triangle has area π r². This does not serve as a complete proof for why this is the area of a circle, but can give you some intuition for why it should be. [code]

matthen:

Unrolling these circles fills a triangle with base 2 π r and height r (where r is the radius of the filled disk). Such a triangle has area π r². This does not serve as a complete proof for why this is the area of a circle, but can give you some intuition for why it should be. [code]

fortheloveofmegan:

I would like to go to the Grotta Palazzese in Puglia, Italy. “Tucked inside a limestone cavern, this summer-only spot (open May through October) has hosted elegant dinners since the 18th century, when Italian nobility held banquets in the space.” - Conde` Nast Traveler

fortheloveofmegan:

I would like to go to the Grotta Palazzese in Puglia, Italy.
“Tucked inside a limestone cavern, this summer-only spot (open May through October) has hosted elegant dinners since the 18th century, when Italian nobility held banquets in the space.” - Conde` Nast Traveler