Question

the diameter of a circle is 6 inches. what is the circles circumference? round your answer to the nearest hundredth. inches submit

Explanation:

Step1: Recall the formula for circumference

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

Step2: Substitute the value of \(d\)

Given \(d = 6\) inches. Substitute \(d = 6\) into the formula: \(C=\pi\times6\).

Step3: Calculate the value

Using \(\pi\approx3.14159\), \(C = 3.14159\times6=18.84954\).

Step4: Round to the nearest hundredth

Rounding \(18.84954\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. Since \(9\gt5\), we round up. So \(18.84954\approx18.85\).

Answer:

\(18.85\)