Question

Let R be the planar region between the curves y^2 + (x-1)^2 = 4 and y^2 = 3(x-1) which contains the point (0, 0). 1.) Calculate the total area of ​​R. 2.) Determine the total length of the boundary of R.

Answer 1

Here's the plot, x going from -1 to 3, y from -(squareroot(3)) to squareroot(3)

Answer 2

??? Isn't R the region in between?