Compare Circle (8cm Diameter) vs Square (6.28cm Sides): Perimeter Challenge

To solve this problem, we need to find the circumference of the circle and the perimeter of the square, and then compare the two.

• Step 1: Calculate the circumference of the circle
• Step 2: Calculate the perimeter of the square
• Step 3: Compare the results

Let's execute each step:

Step 1: Calculate the circle's circumference.
Given that the diameter $d = 8$ cm, we use the formula for circumference:
$C = \pi d = \pi \times 8$

Assuming $\pi \approx 3.14$, the circumference is:
$C = 3.14 \times 8 = 25.12 \, \text{cm}$

Step 2: Calculate the square's perimeter.
Given that the side length $s = 6.28$ cm, we use the formula for perimeter:
$P = 4s = 4 \times 6.28$

Calculate the perimeter:
$P = 4 \times 6.28 = 25.12 \, \text{cm}$

Step 3: Compare the results.
Both the circle's circumference and the square's perimeter are $25.12 \, \text{cm}$.

Therefore, the solution to the problem is Same circumference.