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

Step-by-step explanation:

we know that

The area of the shaded regions is equal to the area of the larger circle plus the area of the smaller circle minus the area of the unshaded circle

Remember that

The area of the circle is equal to

Step 1

Find the area of the larger circle

we have

substitute

Step 2

Find the area of the smaller circle

we have that

so

substitute

Step 3

Find the area of the unshaded circle

we have that

so

substitute

Step 4

Find the area of the shaded regions

step-by-step explanation:

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step-by-step explanation: