The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of π
π.

9π meters

Step-by-step explanation:

SInce 6π is the circumference of the circle, 6π would be the diameter.

We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.

The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:

π3^2

9π

Area=9π m²

Step-by-step explanation:

Hi there!

We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle

The formula to find the circumference of a circle is 2πr, where r is the radius

The formula to find the area of a circle is πr², where r is the radius

So we need to find the radius

As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as  transitivity (if a=b and b=c, then a=c) .

As an equation, the result is:

6π=2πr

Divide both sides by 2π

3=r

So the radius is 3 meters

Now, substitute 3 as the radius in πr² to find the area

A=πr²

A=π(3)²

Raise 3 to the second power, which is the same as multiplying it by itself

A=π*9

A=9π m²

Hope this helps!

answer:      

step-by-step explanation:

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x