Find the area of a circle with a diameter of 10 inches.

To find the area of a circle, the formula used is A = πr², where A represents the area and r is the radius of the circle. Given that the diameter of the circle is 10 inches, we first need to determine the radius, which is half of the diameter.

Calculating the radius:

Radius = Diameter/2 = 10 inches / 2 = 5 inches.

Now substituting the radius back into the area formula:

A = π(5 inches)² = π(25 in²) = 25π in².

This shows that the area of the circle is indeed 25π square inches. Thus, the option stating 25π in² accurately represents the area of the circle based on the provided diameter.