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?

Answer
A. about 89 calories
B. about 11 calories
C. about 201 calories
D. about 1,609 calories

The area of the pizza slice is

A = (1/18)*(1/4)*pi*d^2 in^2
because 20 degrees is 1/18 of a full circle.

Multiply that area by the Calories per square inch andsee what you get. One number on your list will be very close.

calories= 20/360 * PI 8^2 * 8

To find out how many calories Manny eats, we first need to calculate the area of the slice of pizza.

The formula to calculate the area of a sector (in this case, the pizza slice) is:

Area = (θ/360) * π * r^2

Where θ is the central angle and r is the radius.

Given that the diameter of the pizza is 16 inches, we can calculate the radius by dividing the diameter by 2:

Radius = 16 / 2 = 8 inches

Now we can substitute the values into the formula:

Area = (20/360) * π * 8^2

Now we simplify the equation:

Area = (1/18) * π * 64

Area = (π * 64)/18

Area ≈ 11.311 square inches

Now, multiply the calculated area by the number of calories per square inch, which is 8:

Total calories = Area * Calories per square inch

Total calories ≈ 11.311 * 8

Total calories ≈ 90.49

Rounding to the nearest whole number, Manny eats about 90 calories.

Therefore, the correct answer is not listed among the options.