Question

Given: The circle below. Which is closest to the area of the shaded sector (the larger portion of the given circle)Round to the nearest whole number.

Answer 1

`264in^2`

Step-by-step explanation

We have that the shaded sector is subtended at 210 degrees at the center of the circle that has a radius of 12 inches.

The area of a sector is given as:

`(A)/(360)\cdot\text{ }\pi r^2`

where A = angle the sector subtends at the circle's center

So, we have that:

`\begin{gathered} (210)/(360)\cdot\text{ }\pi\cdot12^2 \\ =263.89in^2 \\ \approx264in^2 \end{gathered}`

That is the answer.