Question

the radius of a circle is 11 inches. what is the circles circumference? round your answer to the nearest hundredth. inches

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \(C\) of a circle is \(C = 2\pi r\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 11\) inches. Substitute \(r = 11\) into \(C = 2\pi r\), we get \(C=2\times\pi\times11\).

Step3: Calculate the value

\(C = 22\pi\). Using \(\pi\approx3.1415926\), then \(C=22\times3.1415926 = 69.1150372\).

Step4: Round to the nearest hundredth

Rounding \(69.1150372\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. The third decimal digit is \(5\). According to the rounding rule (if the digit is 5 or greater, we round up the previous digit), so \(69.1150372\approx69.12\).

Answer:

\(69.12\)