Question

the radius of a circle is 6.3 in. find the circumference to the nearest tenth.

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\) or \(C=\pi d\) (where \(r\) is the radius and \(d = 2r\) is the diameter). Given \(r=6.3\) in, we use \(C = 2\pi r\).

Step2: Substitute the value of \(r\) into the formula

Substitute \(r = 6.3\) into \(C=2\pi r\). So \(C=2\times\pi\times6.3\).

Step3: Calculate the value

\(C = 12.6\pi\). Using \(\pi\approx3.14\), we have \(C\approx12.6\times3.14=39.564\).

Step4: Round to the nearest tenth

Rounding \(39.564\) to the nearest tenth. The digit in the hundredth place is \(6\), so we round up the digit in the tenth place. \(39.564\approx39.6\).

Answer:

\(39.6\) in