Answer:
Exact Area = 3pi square units
Approximate Area = 9.42 square units
I used pi = 3.14 to get the approximation.
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Explanation:
This is a three quarter circle since one quarter of it has been taken away.
Let's find the area of the full circle
A = pi*r^2
A = pi*2^2
A = 4pi
Now let's divide by 4 to find the area of just a quarter slice
(4pi)/4 = pi
One quarter slice is pi square units. Since we want three of these quarter slices, this means 3pi is the exact area of the shape shown.
This approximates to 3*pi = 3*3.14 = 9.42