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irina [24]
3 years ago
13

Find the area of the blue sector(s). The diameter of the wheel is 12

Mathematics
1 answer:
Ber [7]3 years ago
7 0

We know that to find the area of the entire circle, we are going to use the equation:


A=\pi r^{2}


And we know that the diameter is 12. To find the radius, we divide the diameter by 2, so 12/2 = 6. So the radius is 6.


Now we can use this radius in the equation:


A=\pi (6)^{2}


A=36\pi


Since all of the angles of each section are equal, we can assume that each of the sections has an equal area. There are 5 sections, so we need to divide 36 \pi by 5 to find the area of each section:


\frac{36 \pi}{5} =7.2 \pi


Each section has an area of 7.2\pi units^{2} or, using 3.14 for pi, 7.2*3.14=22.61units^{2}.


Since we are told to find the area of the blue sections, we know that there are 2 sections that are blue. So we need to multiply the area of each section by 2, to find the area of two of the sections:


22.61*2=45.22units^{2}


Therefore, the answer is C) 45.2 units^{2}.


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Step-by-step explanation:

<h3>1.</h3>

A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

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__

<h3>2.</h3>

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