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Leni [432]
3 years ago
15

If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

Answer: option B

Step-by-step explanation:

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

C=2\pi r

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:

A=\pi r^2

Where "r" is the radius.

Knowing the area, you can solve for the radius:

r^2=\frac{9\pi cm^2}{\pi }\\\\r=\sqrt{\frac{9\pi cm^2}{\pi } }\\\\r=3cm

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

 C=2\pi (3cm)=6\pi\ cm

Cloud [144]3 years ago
7 0

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 = \frac{9\pi }{\pi } = 9

r = \sqrt{9} = 3

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

C = 2π × 3 = 6π → B

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