Circle Radius Comparison: 14 cm Red vs 7 cm Blue Diameter

To solve this problem, let's follow these steps:

• Step 1: Calculate the radius of the blue circle from its diameter.
• Step 2: Determine the ratio of the radius of the red circle to the radius of the blue circle.

Now, let's carry out each step:

Step 1: The diameter of the blue circle is 7 cm. The radius, therefore, is half of the diameter:
$\text{Radius of the blue circle} = \frac{7}{2} = 3.5 \text{ cm}$

Step 2: We now find out how many times longer the radius of the red circle (14 cm) is than the radius of the blue circle:
$\text{Ratio} = \frac{\text{Radius of the red circle}}{\text{Radius of the blue circle}} = \frac{14}{3.5} = 4$

Therefore, the radius of the red circle is 4 times longer than the radius of the blue circle.