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nignag [31]
3 years ago
6

Find the area of the shape.

Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

Exact Area =  3pi   square units

Approximate Area = 9.42    square units

I used pi = 3.14 to get the approximation.

=================================================

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

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<u>Step-by-step explanation:</u>

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<u>C</u>

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f(x) = 3\ sin \bigg(\dfrac{1}{3}x - \dfrac{\pi}{2}\bigg) - 1


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        = 3\ sin \bigg(\dfrac{4\pi}{6} - \dfrac{3\pi}{6}\bigg) - 1

        = 3\ sin \bigg(\dfrac{\pi}{6}\bigg) - 1

        = 3\ \bigg(\dfrac{1}{2}\bigg) - 1

        =\dfrac{3}{2}-\dfrac{2}{2}

        =\dfrac{1}{2}

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