I ordered a large pizza from Dominos for dinner. A large Dominos pizza has 8 slices and a diameter of 13.5 inches. I don’t like to eat the crust, so I want to know how much of the pizza slice will go to waste. Determine
the arc length of the crust on 1 pizza slice to one decimal
place
π * 13.5 / 8
But how did you get π * 13.5 / 8? I keep getting 11.5/7.
the circumference of the circle is πd = 13.5π
One slice is πd/8
Speaking of showing work, how did you arrive at your answer?
To determine the arc length of the crust on one pizza slice, we need to calculate the circumference of the pizza and then find the proportionate length for one slice.
First, let's calculate the circumference of the pizza using the formula:
Circumference = π * diameter
Given that the diameter of the pizza is 13.5 inches, we can substitute the value into the formula:
Circumference = 3.14 * 13.5
Calculating this, we get:
Circumference ≈ 42.39 inches
Since a large Domino's pizza has 8 slices, we can find the arc length of the crust for one slice by dividing the total circumference by the number of slices:
Arc length of crust per slice = Circumference / Number of slices
Arc length of crust per slice ≈ 42.39 inches / 8 slices
Calculating this, we get:
Arc length of crust per slice ≈ 5.3 inches (rounded to one decimal place)
Therefore, the arc length of the crust on one pizza slice, rounded to one decimal place, is approximately 5.3 inches.