If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?
a) 3π cm
b) 6π cm
c)
9/4
π cm
d)
9/2
π cm

option B

Step-by-step explanation:

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

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:

Where "r" is the radius.

Knowing the area, you can solve for the radius:

Substituting into  , you get that the circumference of this circle is:

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 = = 9

r = = 3

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

C = 2π × 3 = 6π → B

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