A button has a diameter of 0.80 πππβππ .
What is the exact area of the button in terms of pi (π)?
A=Οr2
(3 points)
Responses
A. 0.16Ο in2
A. 0.16Ο in2
B. 0.40Ο in2
B. 0.40Ο in2
C. 0.64Ο in2
C. 0.64Ο in2
also you sure
D. 0.80Ο in2
C. 0.64Ο in2
To calculate the area of a circle, we use the formula A = Οr^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 = Ο(0.40)^2
A = Ο(0.16)
A = 0.16Ο
Therefore, the exact area of the button in terms of Ο is 0.16Ο in2.
are you sure
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 = Οr^2
Plugging in the radius:
A = Ο(0.40^2)
A = Ο(0.16)
A = 0.16Ο
Therefore, the correct answer is indeed:
A. 0.16Ο in^2
Thank you for pointing out the error.
now are you sure
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 = Οr^2, we can plug in the radius:
A = Ο(0.40)^2
A = Ο(0.16)
A = 0.16Ο
Therefore, I can confirm that the exact area of the button in terms of Ο is:
A. 0.16Ο in^2
Thank you for your patience.