What is the area of a circle with a diameter of 10 inches?

To find the area of a circle, you can use the formula ( A = \pi r^2 ), where ( A ) is the area and ( r ) is the radius of the circle.

Given that the diameter of the circle is 10 inches, you can determine the radius by dividing the diameter by 2. This gives you a radius of 5 inches.

Now, substituting the radius into the area formula:

[

A = \pi (5)^2

]

[

A = \pi \times 25

]

[

A \approx 3.14 \times 25

]

[

A \approx 78.54 \text{ sq. in}

]

Therefore, the area of the circle is approximately 78.54 square inches. The result aligns with one of the choices, making it the correct answer.

This calculation shows how important understanding the relationship between diameter and radius is, as well as how to apply pi to find the area effectively.