Answer:
9 pi yards squared
Explanation:
By definition, the circumference of a circle is equal to 2pi(radius) or pi(diameter).
Since the circumference is 6 pi yards, we can work backwards to find the area.
Set the equation of the circumference of a circle and the circumference given to you equal to each other in order to find your radius. With the radius we can calculate your area.
2pi(radius)=6 pi yards
Divide both sides by 2
pi(radius)=3 pi yards
Divide both sides by pi
radius=3 yards
Now that we know the radius we can find the area.
By definition, the area of a circle is pi(radius)^2 (This reads as pi times the radius squared)
Squaring the radius is just multiplying it by itself. In this case you would multiply 3 by 3 to get 9.
pi(9 yards squared)=Area
Area=9 pi yards squared