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

Area of the shaded region is 7π

Step-by-step explanation:

To find the area of the shaded region; Will find the area of the entire circle, then find the area of the two smaller circle, we will then subtract the two areas of the smaller circle from area of the entire circle.

Area of a circle is πr²

The radius of the entire circle is 3,

then area of the entire circle =π(3)² =9π

The radius of the first small circle is  1

then the area of the small circle is π(1)² =π

The second circle is having the same radius as the first one, then the area will be the same as the first one, that is its area is also π

Area of the shaded region = Area of the entire circle - area of the first small circle - area of the second small circle

Area of the shaded region =9π - π - π  

                                              =7π

Therefore area of the shaded region is 7π

irrational, cannot