Question

I need to know what the correct proportion to use to solve for the sector area?

Answer 1

Given:

Radius = 111 ft

θ = 150 degrees

Let's find the correct proportion to use to solve for the sector area.

To find the area of the sector, apply the formula:

`A=(\theta)/(360)*\pi r^2`

Where:

θ = 150 degrees

r = 11 ft

Let π = 3.14

Thus, we have:

`A=(150)/(360)*3.14*11^2`

Now, let A = x.

`x=(150)/(360)*3.14*11^2`

Divide both sides by (3.14 x 11²):

`\begin{gathered} (x)/(3.14*11^2)=((150)/(360)*3.14*11^2)/(3.14*11^2) \\ \\ (x)/(3.14*11^2)=(150)/(360) \end{gathered}`

Therefore, the correct proportion to use to solve the sector area is:

`(x)/(3.14*11^2)=(150)/(360)`

ANSWER:

`(x)/(3.14*11^2)=(150)/(360)`