Question

the circumference of a circle is 2π centimeters. what is the diameter? give the exact answer in simplest form. centimeters submit

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 \(C\) into the formula

Given \(C = 2\pi\), substitute into \(C=\pi d\): \(2\pi=\pi d\).

Step3: Solve for \(d\)

Divide both sides of the equation \(2\pi=\pi d\) by \(\pi\). So, \(d=\frac{2\pi}{\pi}\). Simplifying, \(d = 2\).

Answer:

\(2\)