The diameter of The image shows the symbol for a circle which resembles a circle with a dot in the center.Z is 5 in. What is its area in terms of pi?
(1 point)
Responses
2.5piin.2
2.5 Image with alt text: pi in. 2
5piin.2
5 Image with alt text: pi in. 2
6.25piin.2
6.25 Image with alt text: pi in. 2
25piin.2
The correct answer is 25pi in^2. This can be calculated by using the formula for the area of a circle, A = (pi)r^2, where r is the radius. Since the diameter of the circle is given as 5 inches, the radius is half of that, which is 2.5 inches. Plugging this value into the formula, we get A = (pi)(2.5)^2 = 25pi in^2.
The diameter of the circle, Z, is given as 5 inches. The formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle.
Since the diameter is 5 inches, the radius, which is half the diameter, would be 5/2 = 2.5 inches.
Substituting the value of the radius into the area formula, we have A = π * (2.5)^2.
Simplifying, we get A = π * 6.25.
Therefore, the area of the circle, in terms of π, is 6.25π square inches.
So, the correct answer is:
6.25π in.²