What is the exact area of a circle with

a diameter of 25 inches?

A = pi * r^2

A = 3.14 * 12.5^2

A = 490.625 square inches

To find the exact area of a circle with a diameter of 25 inches, you can use the formula for the area of a circle, which is A = πr².

First, we need to find the radius (r). The radius is equal to half of the diameter, so the radius would be 25 inches divided by 2, which is 12.5 inches.

Now, substituting the radius into the formula, we get A = π(12.5)².

To calculate the exact area, we can use the value of π to the appropriate number of decimal places. The value of π is approximately 3.14159.

Using these values, we calculate the area:

A = 3.14159 * (12.5)²
= 3.14159 * 156.25
= 490.87375 square inches (rounded to 5 decimal places).

So, the exact area of a circle with a diameter of 25 inches is approximately 490.87375 square inches.