Here is a circle and a scaled copy of the circle with a scale factor of 2 . 3.1 How does the circumference of the scaled copy compare to the circumference of the original circle?

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When scaling geometrical figures, **linear dimensions** such as length, perimeter, and circumference scale directly with the **scale factor**. In this case, the scale factor is **2**.

For a circle:
- **Circumference** is a linear measurement calculated by the formula $$ C = 2\pi r $$, where $$ r $$ is the radius.

If you create a scaled copy of the original circle with a scale factor of **2**:
- The **radius** of the scaled circle becomes $$ 2r $$.
- Consequently, the **circumference** of the scaled circle becomes:
  $$
  C_{\text{scaled}} = 2\pi (2r) = 4\pi r
  $$
  
Comparing this to the original circumference:
$$
C_{\text{scaled}} = 2 \times (2\pi r) = 2 \times C_{\text{original}}
$$

**Conclusion:**  
The circumference of the scaled copy is **twice** the circumference of the original circle.

**Answer:**  
Its circumference is twice as large as the original circle’s circumference.
The circumference of the scaled copy is twice as large as the original circle’s circumference.

Here is a circle and a scaled copy of the circle with a scale factor of 2 . 3.1 How does the circumference of the scaled copy compare to the circumference of the original circle?

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