Question

the radius of a circle is 11.7 m. find the circumference to the nearest tenth.

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.

Step2: Substitute the given radius into the formula

Given \(r=11.7\) m, we substitute into \(C = 2\pi r\). So \(C = 2\times\pi\times11.7\).

Step3: Calculate the value

\(C=2\times3.14\times11.7 = 6.28\times11.7=73.476\) m.

Step4: Round to the nearest tenth

Rounding \(73.476\) to the nearest tenth. The digit in the hundredth place is \(7\) (\(73.476\)), so we round up the digit in the tenth place. \(73.476\approx73.5\) m.

Answer:

73.5 m