Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Question

Answer 1

9pi -2pi = 7pi cm^2 = the area of the shaded region

find the area of the circle with radius =3 cm,

then subtract the areas of the two circles with radius 1 cm

pir^2 = the area of a circle with radius = r

pi(3)^2 -pi(1)^2 - pi(1)^2

= 9pi -pi-pi = 9pi-2pi = 7pi