To find the diameter of a circle given its circumference, we can use the relationship between the circumference (C) and diameter (d) of a circle, which is expressed by the formula:
[tex]\[ C = \pi \times d \][/tex]
Here, [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14159.
To isolate the diameter [tex]\( d \)[/tex], we can re-arrange the formula as follows:
[tex]\[ d = \frac{C}{\pi} \][/tex]
Given that the circumference [tex]\( C \)[/tex] is 11 centimeters, we can substitute this value into the formula to find the diameter:
[tex]\[ d = \frac{11}{\pi} \][/tex]
Substituting [tex]\( \pi \approx 3.14159 \)[/tex] into the equation:
[tex]\[ d = \frac{11}{3.14159} \][/tex]
Now, let's calculate:
[tex]\[ d \approx 3.5016 \][/tex]
Rounding to two decimal places, the diameter [tex]\( d \)[/tex] is approximately:
[tex]\[ d \approx 3.50 \text{ cm} \][/tex]
Therefore, the correct answer is:
b. about 3.50 cm
