https://file.aiquickdraw.com/mathbot/file/1724257768405f5y8gmgn.jpg

The image contains a circle with a radius marked as \( r = 2 \text{ cm} \) and asks for the area of the shaded sector. The question provides multiple-choice options.

Let me solve this step by step.

### Given:
- **Radius (r):** 2 cm
- **Angle of the sector:** \( \theta = 60^\circ \)

### Formula for the Area of a Sector:
The area of a sector is given by:

\[
\text{Area of sector} = \frac{\theta}{360^\circ} \times \pi r^2
\]

### Substituting the values:
\[
\text{Area of sector} = \frac{60^\circ}{360^\circ} \times \pi (2)^2
\]

### Simplifying:
\[
\text{Area of sector} = \frac{1}{6} \times \pi \times 4 = \frac{4\pi}{6} = \frac{2\pi}{3} \text{ square cm}
\]

So, the correct answer is:

\[
\frac{2\pi}{3} \text{ square cm}
\]

If you have any further questions or need more details, feel free to ask!

### Related Questions:
1. How do you calculate the perimeter of the same sector?
2. What would be the area of the full circle with the given radius?
3. How does the area change if the angle of the sector doubles?
4. What is the circumference of the circle?
5. How would the area of the sector change if the radius increased to 3 cm?

### Tip:
When calculating sector areas, always check if the angle is given in degrees or radians. This will ensure that you use the correct formula and units!

Learn how to calculate the area of a sector with a radius of 2 cm and an angle of 60 degrees using the sector area formula. This problem explores basic geometry concepts related to circle sectors. Suitable for students in Grades 7-9.

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