4 ms·
The argument in favour of tau in the formula for the area of a circle is this: To find the area of a circle with radius r, you integrate the circumference of ev
by shawnz 13y ago
The argument in favour of tau in the formula for the area of a circle is this: To find the area of a circle with radius r, you integrate the circumference of every circle with radius between 0 and r. The integral of tau*r with respect to r is 1/2 tau r^2. Since 1/2 ax^2 is such a common form when dealing with integrals, it can be easier to remember this way.
- rtkwe 13y agoThat's a weak argument. Integrating 2a * x is also insanely common in dealing with integrals. And really if you're deriving the area of a circle and integrating 2pi * r gives you pause you're not on a good road to begin with and removing a 2 from some equations isn't going to help much. edit: forgot that * would make everything italicized.