Answer :

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.

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