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

User Bobmcn
by
5.5k points

2 Answers

5 votes

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

User Kevin Bayes
by
5.0k points
4 votes

Answer:

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

User Vriesdemichael
by
6.0k points