Question

Find the are of the region enclosed by two circles $x^2+y^2=1$ and ${(x-1)}^2+y^2=1$

Answer 1

$x^2+y^2=1$ is a unit circle while ${(x-1)}^2+y^2=1$ is a circle with centre $(!,0)$ and radius $=1$ unit.
By solving $x^2+y^2=1$ and ${(x-1)}^2+y^2=1$
We have ${(x-1)}^2+x^2=1$
$\therefore$ $(x-1+x)(x-1-x)=0$