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If the side of a regular pentagon be 5 c...

If the side of a regular pentagon be 5 cm, find the circumference of the pentagon, in cm.

A

21

B

20

C

30

D

25

Text Solution

AI Generated Solution

The correct Answer is:
To find the circumference (or perimeter) of a regular pentagon with each side measuring 5 cm, follow these steps: ### Step-by-Step Solution: 1. **Understand the Shape**: A regular pentagon has 5 equal sides. 2. **Identify the Length of Each Side**: According to the problem, each side of the pentagon is 5 cm. 3. **Calculate the Total Number of Sides**: A pentagon has 5 sides. 4. **Use the Perimeter Formula**: The perimeter (or circumference) of a polygon is calculated by summing the lengths of all its sides. For a regular polygon, this can be simplified to: \[ \text{Perimeter} = \text{Number of sides} \times \text{Length of one side} \] 5. **Plug in the Values**: For our pentagon: \[ \text{Perimeter} = 5 \times 5 \text{ cm} \] 6. **Perform the Calculation**: \[ \text{Perimeter} = 25 \text{ cm} \] 7. **Conclusion**: The circumference of the pentagon is 25 cm. ### Final Answer: The circumference of the pentagon is 25 cm. ---
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