The Artisan Pizza Co sells take-out pizza in two shapes: an "individual" 6-in.square slice and a circular
"party" wheel with an 18 in. diameter. The party wheel is cut into 6 slices/sectors for the customer. An
individual slice of the party wheel costs $2.95 and the entire party wheel costs $15.95.
Which is larger, the square slice or one sector of the wheel?
?
is larger.
One sector of the party wheel
One square slice
Neither slice

Respuesta :

Answer:

One sector of the party wheel

Step-by-step explanation:

#Determine the areas of the two different shapes to validate.

-For the square pizza:

[tex]A=s\times s\\\\=6\times 6\\\\=36\ in^2[/tex]

-For the a sixth slice of a circular pizza:

[tex]A=\frac{1}{6}\pi r^2\\\\=\frac{1}{6}\pi \times (18/2)^2\\\\=42.41 \ in^2[/tex]

#We then compare the two calculated areas to determine which is larger.

[tex]42.41>36[/tex], hence, the one sector of the party wheel is larger.