Question

the circumference of a circle is 36π cm. what is the radius of the circle? a 18 cm b 72 cm c 34 cm d 36 cm

Explanation:

Step1: Recall the formula for circumference

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 into the formula

Given \(C = 36\pi\) cm, we substitute into \(C = 2\pi r\):
\(36\pi=2\pi r\)

Step3: Solve for \(r\)

Divide both sides of the equation \(36\pi = 2\pi r\) by \(2\pi\).
\(r=\frac{36\pi}{2\pi}\)
Simplify \(\frac{36\pi}{2\pi}\) to get \(r = 18\) cm.

Answer:

A. 18 cm