Question

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

Answer 1

Answer:
`28.27cm^2`

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=(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`

Answer 2

A = 9 pi cm^2

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