Question

the perimeter of circle a is 24π inches. what is the radius of circle b?

Explanation:

Step1: Recall the formula for the perimeter (circumference) of a circle

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.

Step2: Substitute the given circumference of circle A into the formula

Given \(C = 24\pi\) for circle A. Using \(C = 2\pi r\), we have \(24\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation \(24\pi = 2\pi r\) by \(2\pi\). \(\frac{24\pi}{2\pi}=\frac{2\pi r}{2\pi}\). Simplifying, \(r = 12\) inches.

Answer:

The radius of circle A is \(12\) inches.