Both circles have the same center and radius of the larger cirlce is R. if the radius of the msaller circle is 3 units less than R, whic of the following represent the area of the shaded region?

Answer 1

Since diagrams do not show up, I can only guess that they probably showed the shaded area as a ring or resembling a metal washer.

take area of large circle - area of small circle

= pi(R^2) - pi(R-3)^2

expand the second term, then simplify.
See if it matches one of the answers.