Circle Radius Comparison: Finding the Ratio of 24cm vs 12cm Diameters

To solve this problem, follow these steps:

• Step 1: Calculate the radius of the red circle.
• Step 2: Calculate the radius of the blue circle.
• Step 3: Determine the ratio of the radius of the red circle to that of the blue circle.
• Step 4: Simplify the ratio to find how many times longer the red radius is than the blue radius.

Now, let’s proceed:

Step 1: The radius of the red circle is calculated as follows:

$\text{Radius of red circle} = \frac{\text{Diameter of red circle}}{2} = \frac{24}{2} = 12$

Step 2: Similarly, the radius of the blue circle is calculated as:

$\text{Radius of blue circle} = \frac{\text{Diameter of blue circle}}{2} = \frac{12}{2} = 6$

Step 3: Determine the ratio of the red circle’s radius to the blue circle’s radius:

$\text{Ratio} = \frac{\text{Radius of red circle}}{\text{Radius of blue circle}} = \frac{12}{6}$

Step 4: Simplify this ratio:

$\frac{12}{6} = 2$

Thus, the radius of the red circle is 2 times longer than the radius of the blue circle.