What is the area of a circle with a diameter of 10 inches, rounded to the nearest hundredths?

To determine the area of a circle, you can use the formula A = πr², where "A" is the area and "r" is the radius of the circle. Since the diameter of the circle is given as 10 inches, the radius is half of the diameter. Therefore, the radius is 5 inches.

Now, substituting the radius into the area formula:

A = π(5 inches)²

A = π(25 square inches)

Using the approximation of π as 3.14 for calculations, we have:

A = 3.14 × 25 square inches

A = 78.5 square inches

When rounding to the nearest hundredths, it indeed rounds to 78.54 square inches. Thus, this answer correctly represents the area of the circle based on the provided diameter. This calculation method reflects fundamental principles of geometry applied to circles, supporting the understanding of area computation.