Suppose that a pizza must fit into a box with a base 12"X 12" square. Use the quadratic function A= (pi)(r^2) to find the area of a pizza in term of its radius
A = 3.14 * 6^2
A = 3.14 * 36
A = ______ square inches
to fit in the box the radius of a round pizza must be less than or equal to 6 inches
A = 3.14159 * r^2 = 3.14159 * 36
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To find the area of a pizza in terms of its radius using the quadratic function A = πr^2, we need to represent the base of the pizza as a square with sides of length 2r.
Given that the base of the box is a 12" x 12" square, we can determine the length of each side of the square as follows:
Side length of the square = 12" / 2 = 6"
Since the length of each side of the square is equal to 2r, we can now express the radius (r) in terms of the square side length:
2r = 6"
To solve for r, we divide both sides of the equation by 2:
r = 6" / 2
r = 3"
Now that we have determined the radius of the pizza to be 3", we can substitute this value into the quadratic formula A = πr^2 to calculate the area:
A = π(3")^2
A = π(9")
A = 9π"
Thus, the area of the pizza is 9π square inches, where π (pi) is approximately equal to 3.14.