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The image shows a sector of a circle with a radius of \( 3 \, \text{cm} \), and you're asked to find the perimeter of the sector. The formula to find the perimeter of a sector includes two parts: the arc length and the two straight-line radii.

### Step-by-step solution:

1. **Arc Length**:
   The arc length of a sector is given by:
   \[
   L = \theta \times r
   \]
   where:
   - \( r = 3 \, \text{cm} \) is the radius,
   - \( \theta \) is the angle in radians.
   
   Since the angle is not explicitly given, we'll assume this is a quarter-circle sector, implying that the angle is \( 90^\circ \), or \( \frac{\pi}{2} \, \text{radians} \).

   Now, calculate the arc length:
   \[
   L = \frac{\pi}{2} \times 3 = \frac{3\pi}{2} \, \text{cm}.
   \]

2. **Perimeter of the Sector**:
   The perimeter is the sum of the arc length and the two radii:
   \[
   \text{Perimeter} = L + 2r = \frac{3\pi}{2} + 2 \times 3.
   \]
   Using \( \pi \approx 3.14 \), we can approximate:
   \[
   \text{Perimeter} = \frac{3 \times 3.14}{2} + 6 = 4.71 + 6 = 10.71 \, \text{cm}.
   \]

Thus, the perimeter of the sector is approximately \( 10.71 \, \text{cm} \).

Would you like further details or have any questions?

### Related Questions:
1. How do you convert degrees to radians?
2. What is the formula for the area of a sector?
3. How do you find the length of the arc for any given angle?
4. What is the difference between arc length and perimeter of a sector?
5. How do you calculate the angle if you're only given the perimeter?

### Tip:
Always ensure the angle is in radians when using formulas for arc length, or convert it if necessary!

Find the perimeter (in cm) of a sector with a radius of 3 cm. Use 3.14 for π.

Learn how to calculate the perimeter of a sector with a radius of 3 cm using the formula for arc length and the perimeter of a sector. This geometry problem involves understanding the relationship between angles and circle properties. Suitable for students in Grades 6-8.

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