Concentric Circles

We have two concentric circles a and b, each of them having a radius r_a, r_b where r_b > r_a.

The third circle c has a different radius calculation, with radius r_c and center point center_c.

Write a function is_contained(r_a,r_b, r_c, center_c) which returns True if the circle c occupies the space between circle a and b. Otherwise, return False.

Note: the center point of a and b is (0,0)

As an example, only c_2 meets the requirement in this image as it lies between a and b.

Example 1:

Input:

r_a = 3
r_b = 6
r_c = 1
center_c = (4,0)

Output:

is_contained(r_a,r_b,r_c,center_c) -> True

Example: 2

Input:

r_a = 3
r_b = 6
r_c = 1
center_c = (6,0)

Output:

is_contained(r_a,r_b,r_c,center_c) -> False