Question

Find the area of the shape.

Answer 1

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