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shtirl [24]
1 year ago
14

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.

Mathematics
1 answer:
Len [333]1 year ago
7 0

ANSWER

264in^2

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:

\frac{A}{360}\cdot\text{ }\pi r^2

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

So, we have that:

\begin{gathered} \frac{210}{360}\cdot\text{ }\pi\cdot12^2 \\ =263.89in^2 \\ \approx264in^2 \end{gathered}

That is the answer.

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