The formula for the area of a circle is:
Area = π x (radius)^2
where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is half of the diameter.
Given that the diameter of the circle is 12 in, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 12 in / 2 = 6 in
Now we can substitute this value into the formula for the area:
Area = π x (radius)^2 = π x (6 in)^2
Using a calculator to approximate π as 3.14159, we get:
Area ≈ 3.14159 x (6 in)^2 ≈ 113.1 in^2
Therefore, the area of the circle with a diameter of 12 in is approximately 113.1 square inches.