To find the circumference of a circle given its diameter, we can use the formula:
[tex]\[ C = 2 \pi r \][/tex]
where
- [tex]\( C \)[/tex] is the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.141592653589793,
- [tex]\( r \)[/tex] is the radius.
First, we need to calculate the radius of the circle. The diameter of the circle is 28 inches. The radius is half of the diameter, so we calculate the radius as follows:
[tex]\[ r = \frac{\text{diameter}}{2} \][/tex]
[tex]\[ r = \frac{28 \text{ in.}}{2} \][/tex]
[tex]\[ r = 14 \text{ in.} \][/tex]
Now, we use the formula for circumference with the calculated radius:
[tex]\[ C = 2 \pi r \][/tex]
[tex]\[ C = 2 \times 3.141592653589793 \times 14 \text{ in.} \][/tex]
[tex]\[ C \approx 87.96459430051421 \text{ in.} \][/tex]
Next, we need to round the result to the nearest inch:
[tex]\[ C \approx 88 \text{ in.} \][/tex]
Therefore, the circumference of the circle is approximately 88 inches when rounded to the nearest inch.
The best answer is:
D. 88 in.
