https://file.aiquickdraw.com/mathbot/file/1726668567809hh3ut4pw.jpg

To find the area of the shaded sector, we will use the formula for the area of a sector of a circle:

\[
A = \frac{\theta}{360^\circ} \times \pi r^2
\]

Where:
- \(\theta\) is the central angle of the sector (in degrees).
- \(r\) is the radius of the circle.

From the diagram:
- \(\theta = 110^\circ\)
- \(r = 12 \, \text{cm}\)

Now let's plug these values into the formula.

\[
A = \frac{110}{360} \times \pi \times (12)^2
\]

I'll calculate the result.The area of the shaded sector is approximately **138 cm²**.

Would you like more details or have any questions about the steps involved?

Here are some related questions to explore:

1. How does the area of a full circle compare to the area of this sector?
2. What would the area of the sector be if the angle were 90° instead of 110°?
3. How does changing the radius affect the area of the sector?
4. Can you find the arc length of the shaded sector using the same values?
5. What happens to the area if the central angle is doubled?

**Tip:** When dealing with circle problems, it's useful to remember that sectors are fractions of the whole circle!

To the nearest square centimeter, what is the area of the shaded sector in the circle shown below? The circle has a radius of 12 cm and the central angle is 110°.

Learn how to calculate the area of a sector with a radius of 12 cm and a central angle of 110°. The problem uses the formula A = (θ/360) × πr², and the solution steps are suitable for students in Grades 7-9.

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