Find the area of all shaded regions. Give your answer as a completely simplified exact value in terms of pi. (no approximations)
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The area of the shaded regions is: 44π
Area of a circle where "r" is the radius is determined using the formula: πr².
The figure given has three circles, namely:
The area of the shaded regions = Area of circle A - Area of Circle B + Area of Circle C
Area of Circle A = (π)(8)² = 64π
Area of Circle B = (π)(4)² = 16π
Area of Circle C = (π)(2)² = 4π
Thus:
The area of the shaded regions = 64π - 16π + 4π
The area of the shaded regions = 44π
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