What is the area of a circular region whose diameter is 12 centimeters?
The radius of a circle is half its diameter, so the radius of this circle is 6 cm.
The area of a circle is calculated using the formula A = π r^2, where A is the area, and r is the radius.
Plugging in the values:
A = π * 6^2
A = π * 36
A = 113.1 cm^2
Therefore, the area of the circular region with a diameter of 12 cm is 113.1 square centimeters.