Question

I need help to find the area of the sector. I will include the photo:)

Answer 1

Step 1. Find the total area of the circle using the formula:

`A=\pi r^2`

Where r is the radius of the circle, in this case:

`r=9in`

and π is a constant:

`\pi=3.1416`

Substituting r and π into the formula for the area:

`A=(3.1416)(9in)^2`

And solving the operations:

`\begin{gathered} A=(3.1416)(81in^2) \\ A=254.47in^2 \end{gathered}`

Step 2. Find the are of the sector.

The sector is the part of the circle with an angle of 300°. We know that the total circle has 360°, thus, to find the area of the sector we have to divide the total area of the circle by 360, and then multiply by 300:

`(254.47in^2)/(360)*300`

Solving the operations:

`=0.707in^2*300`
`=212.1in^2`

Answer: the area of the sector is

`212.1in^2`