Final answer:
To find the area of a circle with a diameter of 4 inches, use the formula A = πr² with the radius being half of the diameter. The area is calculated as 3.14 multiplied by the square of the radius (2 inches), which results in 12.56 square inches.
Step-by-step explanation:
The diameter of a circle is the length across the circle, passing through the center. To find the area of the circle, you need to use the radius, which is half the diameter. In this case, the diameter is given as 4 inches so the radius would be 2 inches (4 inches divided by 2).
The formula for calculating the area of a circle is A = πr². By using 3.14 for π (pi), to calculate the area, we square the radius and multiply it by π. Therefore, for a radius of 2 inches, the calculation would be:
A = 3.14 × (2 inches)²
A = 3.14 × 4 inches²
A = 3.14 × 4
A = 12.56 square inches
So the area of the circle is 12.56 square inches.