Respuesta :

Answer:

The length of the radius, r is 18 cm.

Step-by-step explanation:

If the radius of a circle is r, then the circumference of the circle is

[tex]C=2\pi r[/tex]

It is given that circle O has a circumference of 36π cm.

[tex]36\pi=2\pi r[/tex]

Divide both sides by 2π.

[tex]\frac{36\pi}{2\pi}=\frac{2\pi r}{2\pi}[/tex]

[tex]18=r[/tex]

Therefore the length of the radius of the circle is 18 cm.