A button has a diameter of 0.80 𝑖𝑛𝑐ℎ𝑒𝑠.

Question

A 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

Answer 1

C. 0.64π in2

To find the area of the button, we need to first find the radius. The radius is half the diameter, so the radius is 0.80/2 = 0.40 inches.

Now, using the formula for the area of a circle A = πr2, we can substitute the radius into the formula:

A = π(0.40)2
A = π(0.16)
A = 0.16π

Therefore, the exact area of the button in terms of pi is 0.16π in2.