Question

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

Answer 1

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:

`(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)`.