Question

the diameter of a circle is 137 m. find the circumference to the nearest whole number.

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 value of diameter

Given \(d = 137\) m. Substitute into the formula: \(C=\pi\times137\).
Using \(\pi\approx3.14159\), then \(C = 3.14159\times137\).
Calculate \(3.14159\times137=(3 + 0.14159)\times137=3\times137+0.14159\times137=411+19.39883 = 430.39883\).

Step3: Round to the nearest whole number

Rounding \(430.39883\) to the nearest whole number. Since the decimal part \(0.39883<0.5\), we round down.

Answer:

\(430\)