Question 1163042
 Circle A is shaded and lies inside circle B. The radius of B is 4 inches more than the radius of A. What is the radius of each if the unstated [sic] unshaded  area is.
Twice as much as the shaded area
---------------
a = radius of smaller circle
Area1 = pi*a^2
b = radius of larger circle = a+4
Area2 = pi*(a+4)^2
Unshaded area = Area2 - Area1 = 2*Area1
---> Area2 = 3*Area1
pi*(a+4)^2 = 3pi*a^2
a^2 + 8a + 4 = 3a^2
2a^2 - 8a - 4 = 0
a^2 - 4a - 2 = 0
Solve for a
etc


28pi square inches more than the shaded area
16pi square inches more than twice as much as the shaded area.