Respuesta :

Answer: option B

Step-by-step explanation:

The circumference of a circle can be calculated with this formula:

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

Where "C" is the circumference of the circle and "r" is the radius of the circle.

The area of a circle can be calculated with:

[tex]A=\pi r^2[/tex]

Where "r" is the radius.

Knowing the area, you can solve for the radius:

[tex]r^2=\frac{9\pi cm^2}{\pi }\\\\r=\sqrt{\frac{9\pi cm^2}{\pi } }\\\\r=3cm[/tex]

Substituting into  [tex]C=2\pi r[/tex], you get that the circumference of this circle is:

 [tex]C=2\pi (3cm)=6\pi\ cm[/tex]

Answer:

B

Step-by-step explanation:

The area (A) of a circle = πr² ← r is the radius

here A = 9π, hence

πr² = 9π ( divide both sides by π )

r² = [tex]\frac{9\pi }{\pi }[/tex] = 9

r = [tex]\sqrt{9}[/tex] = 3

The circumference (C) of a circle is C = 2πr, hence

C = 2π × 3 = 6π → B