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aliina [53]
3 years ago
8

The circumference of a circle is 6 pi cm. What is the area of circle

Mathematics
2 answers:
AURORKA [14]3 years ago
6 0

Answer:

A = 9 pi cm^2

Step-by-step explanation:

Circumference = 2 * pi *r

6pi = 2 * pi *r

Divide each side by pi

6 = 2r

Divide by 2

6/2 = 2r/2

3=r

Now we want to find the area

A = pi r^2

A = pi (3)^2

A = 9 pi cm^2

kati45 [8]3 years ago
6 0

Answer: 28.27cm^2

Step-by-step explanation:

The area of a circle can be calculated with the formula:

A=\pi r^2

Where r is the radius of the circle.

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

C=2\pi r

Where r is the radius of the circle.

Knowing that the circumference is 6π, you know that the radius is:

r=\frac{6\pi}{2\pi}\\r=3cm

Substitute the radius of the circle into the formula  A=\pi r^2, then:

A=\pi (3cm)^2\\A=28.27cm^2

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