A button has a diameter of 0.80 inches.
What is the exact area of the button in terms of pi (7)?
COURSE TOOLS
A = 772
(3 points)
O A. 0.167 in?
O B. 0.407 in?
O C. 0.647 in2
O D. 0.807 in?
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. Since the diameter of the button is given, we need to divide it by 2 to get the radius.
Given the diameter is 0.80 inches, the radius (r) would be 0.40 inches (0.80 / 2 = 0.40).
Now, we can substitute the radius into the formula to find the area:
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 square inches, which is equivalent to the answer choice A. 0.167 in2.