# Answer to Question #25177 in Trigonometry for Alec Barger

Question #25177

Sheldon designed a pizza cutter that allows independently setting

the cut angle for each slice. This permits equitable slicing when toppings are

arranged inequitably. Two slices are to be cut from a 16 inch diameter pizza.

On the right side, the

toppings cover most of the

crust. A skinny band of

uncovered crust at the

outer radius averages ½

inch.

On the left side, the

uncovered band averages 1

inch.

a) The left side slice was cut first with a 45o (π/4) angle. Sheldon calculated a

smaller cut angle for the right side slice to ensure that the toppings areas are

the same. What is that angle in radians? (3 digits of accuracy)

b) Suppose that the right side slice was cut first with a 36o (π/5) angle.

Sheldon then calculated a larger cut angle for the right side slice to ensure

that the toppings areas are the same. What is that angle in radians? (3 digits

of accuracy)

the cut angle for each slice. This permits equitable slicing when toppings are

arranged inequitably. Two slices are to be cut from a 16 inch diameter pizza.

On the right side, the

toppings cover most of the

crust. A skinny band of

uncovered crust at the

outer radius averages ½

inch.

On the left side, the

uncovered band averages 1

inch.

a) The left side slice was cut first with a 45o (π/4) angle. Sheldon calculated a

smaller cut angle for the right side slice to ensure that the toppings areas are

the same. What is that angle in radians? (3 digits of accuracy)

b) Suppose that the right side slice was cut first with a 36o (π/5) angle.

Sheldon then calculated a larger cut angle for the right side slice to ensure

that the toppings areas are the same. What is that angle in radians? (3 digits

of accuracy)

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