Question

consider the map of a maze at a park. the maze has three circular walking paths.

• path a is in the shape of a circle with a radius of 7.5 meters.

• path b is in the shape of a circle with a diameter of 45 meters.

• path c is in the shape of a circle with a circumference of 94.2 meters.

use the drop down to label each to its corresponding path.

Explanation:

Step1: Find Path A's circumference

The formula for circumference is $C = 2\pi r$. For Path A, $r=7.5$ m.
$C_A = 2 \times \pi \times 7.5 = 15\pi \approx 47.1$ meters

Step2: Find Path B's circumference

First, calculate radius from diameter: $r = \frac{45}{2} = 22.5$ m.
$C_B = 2 \times \pi \times 22.5 = 45\pi \approx 141.3$ meters

Step3: Compare circumferences to paths

The outermost path is the largest (longest circumference), middle is medium, innermost is smallest.

• Largest circumference: Path B ($\approx141.3$ m) → Outermost path
• Medium circumference: Path C (94.2 m) → Middle path
• Smallest circumference: Path A ($\approx47.1$ m) → Innermost path

Answer:

• Outermost path: Path B
• Middle path: Path C
• Innermost path: Path A