To find the diameter of a circle given its circumference, we can use the relationship between the circumference and the diameter. The formula for the circumference [tex]\( C \)[/tex] of a circle in terms of its diameter [tex]\( D \)[/tex] is:
[tex]\[ C = \pi \times D \][/tex]
Where [tex]\(\pi\)[/tex] (pi) is a constant approximately equal to 3.14159.
We are given the circumference [tex]\( C \)[/tex] as 5. To find the diameter [tex]\( D \)[/tex], we can rearrange the formula to solve for [tex]\( D \)[/tex]:
[tex]\[ D = \frac{C}{\pi} \][/tex]
Now, we can substitute the given value of the circumference into the formula:
[tex]\[ D = \frac{5}{\pi} \][/tex]
Using the approximate value of [tex]\(\pi\)[/tex]:
[tex]\[ D = \frac{5}{3.14159} \][/tex]
Carrying out the division:
[tex]\[ D \approx 1.59155 \][/tex]
So, the diameter of the circle whose circumference is 5 is approximately 1.59155 units.
