This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
8\pi cm
Step 1: Identify the given information and formulas. The diameter of the circle is cm. The radius is half of the diameter: . The formula for circumference of a circle is or . The formula for area of a circle is .
Step 2: Calculate the radius.
Step 3: Calculate the circumference. Using : Using :
Step 4: Calculate the area. Using : Using :
The circumference is or approximately . The area is or approximately .
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Identify the given information and formulas. The diameter of the circle is d = 8 cm.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.