A circle has a diameter of 6 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.

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Answer:

The numerical value of the circumference is greater than the numerical value of the area.

Step-by-step explanation:

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The numerical value of the circumference is less than the numerical value of the area.

Which statement is true?

For a circle of radius R, remember that the diameter is twice the radius, we have:

area = pi*R^2

And the circumference is:

C = 2*pi*R

In this case, we have:

D = 6m

R = 6m/2 = 3m

The circumference is:

C = 2*3.14*3m = 18.84m

And the area:

A = 3.14*(3m)² = 28.26 m^2

So the area is larger than the perimeter, the true statement is:

"The numerical value of the circumference is less than the numerical value of the area."

If you want to learn more about circles:

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