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.