To calculate the area and circumference of the circle with a radius of 6 cm, let's apply the formulas:

1. Area of a circle:
   $A = \pi r^2$ where $r = 6 \, \text{cm}$.

   $A = \pi \times 6^2 = \pi \times 36 = 113.1 \, \text{cm}^2 \, (\text{approximately})$

2. Circumference of a circle:
   $C = 2 \pi r$

   $C = 2 \times \pi \times 6 = 12 \pi = 37.7 \, \text{cm} \, (\text{approximately})$

Summary:

• Area ≈ 113.1 cm²
• Circumference ≈ 37.7 cm

Would you like further details on the calculation steps, or do you have any other questions?

Here are some related questions for further practice:

1. How would the area change if the radius was doubled?
2. What would be the area and circumference if the diameter was given instead of the radius?
3. How can you find the radius if only the circumference is known?
4. How would the formulas change if calculating for a semicircle?
5. What is the relationship between the area and circumference in a circle?

Tip: Remember, the diameter of a circle is twice the radius, which can simplify some calculations if the diameter is given directly.