Question

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

Answer 1

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

Answer 2

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:

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