To find the area of a button (which is a circle) given its diameter, you can use the formula for the area of a circle:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter of the button is 0.80 inches, we can calculate the radius as follows:
\[ r = \frac{\text{diameter}}{2} = \frac{0.80 , \text{inches}}{2} = 0.40 , \text{inches} \]
Now substitute the radius into the area formula:
\[ A = \pi (0.40)^2 = \pi (0.16) \]
Thus, the area of the button in terms of \( \pi \) is:
\[ A = 0.16\pi , \text{in}^2 \]
So, the correct response is:
0.16𝜋 𝑖𝑛²