To find the circumference of a circle when given its diameter, we can use the formula:
[tex]\[ \text{Circumference} = \pi \times \text{diameter} \][/tex]
Here, we are given the diameter of the circle as 55 inches.
1. Calculate the Circumference:
[tex]\[ \text{Circumference} = \pi \times 55 \][/tex]
Using the value of [tex]\(\pi \approx 3.141592653589793\)[/tex],
[tex]\[ \text{Circumference} \approx 3.141592653589793 \times 55 \][/tex]
[tex]\[ \text{Circumference} \approx 172.78759594743863 \][/tex]
2. Round the Circumference to the Nearest Whole Number:
The calculated circumference is approximately 172.79 inches. To round this to the nearest whole number, we look at the first digit after the decimal point (7 in this case).
Since 7 is greater than or equal to 5, we round up.
Therefore, the circumference to the nearest whole number is 173 inches.
Final Answer:
The circumference of the circle with a diameter of 55 inches, rounded to the nearest whole number, is 173 inches.
