A button has a diameter of 0.80 𝑖𝑛𝑐ℎ𝑒𝑠.

Question

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
also you sure
D. 0.80π in2

Answer 1

C. 0.64π in2

To calculate the area of a circle, we use the formula A = πr^2, where r is the radius of the circle. Since the diameter of the button is 0.80 inches, the radius would be half of the diameter, which is 0.40 inches. Plugging this into the formula, we get:

A = π(0.40)^2
A = π(0.16)
A = 0.16π

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

Answer 2

are you sure

Answer 3

Apologies for the confusion. Let's correct the calculation:

Given that the diameter of the button is 0.80 inches, we first need to find the radius, which is half of the diameter. Therefore, the radius (r) is 0.80/2 = 0.40 inches.

Now, we can use the formula for the area of a circle: A = πr^2

Plugging in the radius:

A = π(0.40^2)
A = π(0.16)
A = 0.16π

Therefore, the correct answer is indeed:
A. 0.16π in^2

Thank you for pointing out the error.

Answer 4

now are you sure

Answer 5

I apologize for the confusion earlier. Let's verify the calculation one more time:

The diameter of the button is 0.80 inches, so the radius, which is half of the diameter, would be 0.40 inches.

Using the formula for the area of a circle, A = πr^2, we can plug in the radius:

A = π(0.40)^2
A = π(0.16)
A = 0.16π

Therefore, I can confirm that the exact area of the button in terms of π is:
A. 0.16π in^2

Thank you for your patience.