Question

the circumference of a circle is 2π m. find its diameter, in meters.

Explanation:

Step1: Recall the formula for circumference

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

Step2: Substitute the given value of circumference

Given \(C = 2\pi\) m. Substitute into \(C=\pi d\), we get \(2\pi=\pi d\).

Step3: Solve for \(d\)

Divide both sides of the equation \(2\pi=\pi d\) by \(\pi\). So, \(d=\frac{2\pi}{\pi}\).
Since \(\frac{\pi}{\pi}=1\) (for \(\pi
eq0\)), then \(d = 2\) m.

Answer:

\(2\) meters