Question

the diameter of a circle is 24 kilometers. what is the circles circumference? round your answer to the nearest hundredth. kilometers

Explanation:

Step1: Recall the formula for circumference

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

Step2: Substitute the given diameter

Given \(d = 24\) kilometers. Substitute into the formula: \(C=\pi\times24\).

Step3: Calculate the value

Using \(\pi\approx3.14159\), then \(C = 3.14159\times24=75.39816\).

Step4: Round to the nearest hundredth

Rounding \(75.39816\) to the nearest hundredth (two - decimal places). The third decimal digit is \(8\gt5\), so we round up the second decimal digit. \(75.39816\approx75.40\).

Answer:

\(75.40\) kilometers