If the side of a regular pentagon be 2 cm, find the circumference of the pentagon, in cm.

Options

A. 1. 10cm
B. 2. 15 cm
C. 3. 20cm
D. 4. 5 cm

Answer

To find the circumference (or perimeter) of a regular pentagon with a side length of 2 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the shape**: A regular pentagon has 5 equal sides.

2. **Identify the length of one side**: In this case, the length of each side (A) is given as 2 cm.

3. **Use the formula for the perimeter**: The formula for the perimeter (P) of a regular polygon is given by:
\[ P = n \times A \]
where \( n \) is the number of sides and \( A \) is the length of one side.

4. **Substitute the values**: For a pentagon, \( n = 5 \) and \( A = 2 \) cm. Thus, we can substitute these values into the formula:
\[ P = 5 \times 2 \]

5. **Calculate the perimeter**:
\[ P = 10 \text{ cm} \]

### Final Answer:
The circumference (or perimeter) of the pentagon is **10 cm**.

---