button has a diameter of 0.80 𝑖𝑛𝑐ℎ𝑒𝑠.

What is the exact area of the button in terms of pi (𝜋)?



A=πr2
(3 points)
Responses

A. 0.16π in2
A. 0.16π in2

B. 0.40π in2
B. 0.40π in2

C. 0.64π in2
C. 0.64π in2

D. 0.80π in2
D. 0.80π in2

1 answer

C. 0.64π in2

To find the area of a circle, you use the formula A = πr^2, where r is the radius of the circle. Since the diameter is given, you first need to divide it by 2 to find the radius:

Radius = Diameter / 2
Radius = 0.80 inches / 2
Radius = 0.40 inches

Now you can plug the radius back into the formula:

A = π(0.40)^2
A = π(0.16)
A = 0.16π in^2

So, the exact area of the button is 0.16π in^2.