Question

what is the circumference of a circle with a diameter of 5.75 miles? estimate the circumference to the hundredths place using 3.14 for π. (1 point) miles

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \( C \) of a circle when the diameter \( d \) is known is \( C=\pi d \).

Step2: Substitute the given values

We know that \( d = 5.75 \) miles and \( \pi=3.14 \). Substitute these values into the formula: \( C = 3.14\times5.75 \).

Step3: Perform the multiplication

Calculate \( 3.14\times5.75 \). First, \( 3\times5.75 = 17.25 \), \( 0.14\times5.75=0.805 \). Then add them together: \( 17.25 + 0.805=18.055 \).

Step4: Round to the hundredths place

Rounding \( 18.055 \) to the hundredths place, we look at the thousandths digit which is 5. Since \( 5\geq5 \), we round up the hundredths digit. So \( 18.055\approx18.06 \).

Answer:

18.06