A circle has a diameter of 6 centimeters. What is the area of the circle in square centimeters?

Question

Use the formula A = pie r squared
where A is the area of the circle and r is the radius.

Зл
6pie
9л
36 pie

Answer 1

To find the area of a circle using the given formula \( A = \pi r^2 \), we first need to determine the radius of the circle.

Given that the diameter of the circle is 6 centimeters, the radius \( r \) can be calculated as:

\[ r = \frac{\text{diameter}}{2} = \frac{6}{2} = 3 \text{ centimeters} \]

Now we can substitute the radius into the area formula:

\[ A = \pi r^2 = \pi (3)^2 = \pi (9) = 9\pi \]

Therefore, the area of the circle is:

\[ 9\pi \text{ square centimeters} \]

Among the options you provided, the correct answer is:

9π