4 ms·
I'll echo what gp said to help make tau happen: tau : the circumference (perimeter) of a circle. (1/2)tau^2 : the area of a circle. Beautiful. To go from one
by delish 11y ago
I'll echo what gp said to help make tau happen:
tau : the circumference (perimeter) of a circle.
(1/2)tau^2 : the area of a circle.
Beautiful. To go from one to the other, you integrate or take a derivative. Like gp said, there's no weird factor of two. Just the power rule in action.
- drdeca 11y agoYou seem to have left out the r in both of those expressions. Tou r. .5 tou r^2 .
- cmiller1 11y agoNope, all circles have a perimeter of 19.7392088022.
- Someone 10y ago(1/2)tau^2? I assume that's not what you meant to write, and just mention: 2pi r : the circumference (perimeter) of a circle. pi r^2: the area of a circle. Beautiful. To go from one to the other, you integrate or take a derivative. There's no weird factor of 1/2. Just the power rule in action.
- deleted 10y ago[deleted]