Manny loves to eat Cajun pizza. Each square inch of pizza is 8 calories. He orders a slice of pizza from a pizza with a diameter of 16 inches that is cut with a central angle of 20 degrees. How many calories does he eat?

A = pi * r^2

A = 3.14 * 64
A = 200.96 sq. in

360/20 = 18

200.96/18 = 11.16 sq. in. in one piece

11.16 * 8 = ?_______ calories

89.28

To find out how many calories Manny eats, we need to calculate the area of the slice and then multiply it by the number of calories per square inch.

First, let's calculate the area of the slice:

1. The formula for the area of a sector (slice) of a circle is given by: A = (θ/360) * π * r^2, where A is the area, θ is the central angle, and r is the radius.

2. The diameter is given as 16 inches, so the radius (r) is half of that, which is 8 inches.

3. The central angle (θ) is given as 20 degrees.

Now, let's calculate the area of the slice using the formula:

A = (20/360) * π * (8^2)
A = (20/360) * π * 64
A = (1/18) * π * 64
A ≈ 11.31 square inches (rounded to two decimal places)

Next, we need to calculate the number of calories Manny eats:

1. The calorie count is given as 8 calories per square inch.

2. Multiply the area of the slice by the calories per square inch:

Calories = 11.31 square inches * 8 calories/square inch
Calories ≈ 90.48 calories (rounded to two decimal places)

So, Manny eats approximately 90.48 calories from the slice of Cajun pizza.