What is the area of a circular sector with a central angle of 120 degrees and a radius of 2 cm?

To find the area of a circular sector, we use the formula:

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

where $\theta$ is the central angle in degrees and $r$ is the radius of the circle.

Step 1: Identify the given values.
The central angle $\theta = 120^\circ$.
The radius $r = 2$ cm.

Step 2: Substitute the values into the formula.

$$A = \frac{120^\circ}{360^\circ} \times \pi (2 \text{ cm})^2$$

Step 3: Simplify the expression.

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