what is the exact area of a circle with a diameter of 15 inches?

radius = 15/2

area = pi r^2 = pi (225/4)

so its 225pi sq. in?

exact? One cannot write down exactly irrational numbers, such as PI.

The exact answer is 225/4 * PI

pi r^2 = pi D^2/4 = area of circle

you guys are all wrong

To calculate the exact area of a circle, you need to use the formula A = πr^2, where A represents the area and r represents the radius. The radius of a circle is half of its diameter.

In this case, the diameter of the circle is given as 15 inches. To find the radius, we divide the diameter by 2:

radius (r) = diameter / 2 = 15 inches / 2 = 7.5 inches

Now that we have the radius, we can calculate the area using the formula:

A = πr^2 = π(7.5 inches)^2

The value of π, which is a mathematical constant representing the ratio of a circle's circumference to its diameter, is approximately 3.14159.

Therefore, the exact area of the circle with a diameter of 15 inches is:

A = π(7.5 inches)^2 = 3.14159 * (7.5 inches)^2 = 3.14159 * 56.25 square inches

Calculating this multiplication, we find:

A ≈ 3.14159 * 56.25 = 176.7145875 square inches

So, the exact area of a circle with a diameter of 15 inches is approximately 176.71 square inches.