The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of [tex]\frac{1}{2}[/tex] in.?

[tex]\square[/tex] in.



Answer :

To find the approximate circumference of a circle given its diameter, we use the formula for circumference, which is:

[tex]\[ C = \pi \times d \][/tex]

where:
- [tex]\( C \)[/tex] is the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14,
- [tex]\( d \)[/tex] is the diameter of the circle.

Given that the diameter [tex]\( d \)[/tex] of the circle is [tex]\(\frac{1}{2}\)[/tex] inch, we can plug this value into the formula to find the circumference.

So,

[tex]\[ C = 3.14 \times \frac{1}{2} \][/tex]

Now, perform the multiplication:

[tex]\[ C = 3.14 \times 0.5 \][/tex]

This results in:

[tex]\[ C = 1.57 \][/tex]

Therefore, the approximate circumference of the circle is:

[tex]\[ 1.57 \][/tex] in.