Question

if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Answer 1

the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5

with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25
 
AREA=2.25pi

Answer 2

The area of the given circle, in terms of pi, is:

A = (9/4)pi cm^2

How to find the area of the circle?

We know that for a circle of radius R, the circumference is:

C = 2*pi*R

And the area is:

A = pi*R^2

In this case, we know that:

C = 3pi cm = 2pi*R

Then we must have:

3cm = 2R

(3/2)cm = R

Now we can replace this on the area equation:

A = pi*((3/2)cm)^2 = pi*(9/4) cm^2

If you want to learn more about circles, you can read:

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