Question
A circle has a diameter of 6 centimeters. What is the area of the circle in square centimeters?
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
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
Answers
GPT-4o mini
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**
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**
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