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