Sure, let's solve the problem step by step.
### Step-by-Step Solution
Given:
- Radius of the circle ([tex]\( r \)[/tex]) = 6 cm
#### Part (a): Find the Diameter
The diameter ([tex]\( D \)[/tex]) of a circle can be found using the relationship between the diameter and the radius:
[tex]\[ D = 2 \times r \][/tex]
Calculation:
[tex]\[ D = 2 \times 6 \][/tex]
[tex]\[ D = 12 \][/tex]
So, the diameter of the circle is 12 cm.
#### Part (b): Find the Circumference
The circumference ([tex]\( C \)[/tex]) of a circle can be found using the formula that relates the circumference to the radius:
[tex]\[ C = 2 \times \pi \times r \][/tex]
Calculation:
We need to approximate [tex]\(\pi\)[/tex] as 3.14159 (or use the specific value directly if provided), but the calculation here is already given, so:
[tex]\[ C = 2 \times 3.14159 \times 6 \][/tex]
[tex]\[ C \approx 37.69911184307752 \][/tex]
Therefore, the circumference of the circle is approximately 37.70 cm (rounded to two decimal places).
### Summary
- The diameter of the circle is 12 cm.
- The circumference of the circle is approximately 37.70 cm.
