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What is the area of this pool rounded to the tens place?

What is the area of this pool rounded to the tens place?-example-1
User Slhck
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1 Answer

5 votes

First, let's calculate the area of each circular sector, using the formula below:


A=(r^2\theta)/(2)

Where r is the radius and theta is the central angle.

So, using theta = 2.21 and r = 30, we have:


A_1=(30^2\cdot2.21)/(2)=994.5\text{ ft^^b2}

Both circular sectors have the same area, so A2 = A1.

The area of a triangle is given by:


A=(b\cdot h)/(2)

Where b is the base and h is the height relative to this base.

Using b = 20 and h = 25, we have:


A_3=(20\cdot25)/(2)=250\text{ ft^^b2}

The area of the triangles is the same, so A4 = A3.

Now, adding all areas, we have:


\begin{gathered} A_(total)=A_1+A_2+A_3+A_4\\ \\ A_(total)=994.5+994.5+250+250\\ \\ A_(total)=2489\text{ ft^^b2} \end{gathered}

Rounding to the tens, we have an area of 2490 ft², so the correct option is D.

User Hema Ramasamy
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