How do you find the length of the curve #y=sqrt(x-x^2)#?
1 Answer
Apr 26, 2016
Use algebra to get a length of
Explanation:
This is equivalent to (
This is the equation of a circle. Complete the square to get
With
The length of the upper semicircle is half the circumference.
Note
I also tried to do this using the integral, but it became too complicated for me to continue when there was a much cleaner solution available.