A pizzeria will bake and deliver a round pizza with a 18-inch diameter. Find the exact area of the top of the pizza and an approximation. Use 3.14 as an approximation for
as always,
A = πr^2 = 81π
To find the exact area of the top of the pizza, we can use the formula for the area of a circle:
Area = π * (radius)^2
Given that the diameter is 18 inches, the radius would be half of this:
Radius = 18 inches / 2 = 9 inches
Using the approximation of π as 3.14, we can calculate the exact area of the top of the pizza as follows:
Exact Area = 3.14 * (9 inches)^2 = 3.14 * 81 square inches = 254.34 square inches (rounded to two decimal places)
Hence, the exact area of the top of the pizza is approximately 254.34 square inches.
To find the exact area of the top of the pizza, we will use the formula for the area of a circle, which is:
A = πr²
where A is the area and r is the radius of the circle.
In this case, the diameter of the pizza is 18 inches. The radius is half the diameter, so the radius of the pizza is 18/2 = 9 inches.
Now, let's calculate the exact area using π as the exact value:
A = π(9)²
= π(81)
= 81π square inches
So, the exact area of the top of the pizza is 81π square inches.
To find an approximation using 3.14 as an approximation for π, we will substitute π with 3.14 in the formula:
A ≈ 3.14(9)²
= 3.14(81)
≈ 254.34 square inches
Therefore, the approximate area of the top of the pizza is approximately 254.34 square inches.