Question

Why does life hate me? Question:
Directions: A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its
box is a rectangular prism that is 1 14
8 inches long, 1 14
8 inches wide, and 3
1
4
inches
tall. Your job is to design a crazy new shape for a large pizza. It can be any
irregular polygon shape, but it must have at least five sides.
Tony says he will make and sell your crazy pizza if you can prove the following:
• It is approximately the same area as the large pizza he sells now.
• It fits inside the large box listed above.
• It can be cut into 8‒12 equal-sized pieces.
Create one design for a crazy pizza that will meet all of Tony's requirements.
1. Create a representation of your design that includes measurements.
2. Prove mathematically, using appropriate formulas, that your design is
approximately the same surface area as Tony’s large pizza.
3. Prove mathematically, using appropriate formulas, that your pizza will fit in
the box.
4. Use diagrams or other models to prove that your design can be divided into
8‒12 equal-sized pieces. (Tip: You may use graph paper or the Virtual
Geoboard to show how your pizza can be divided into equal-sized pieces.)
Your design and proofs (model and mathematical) will be submitted as your
portfolio assessment.
Thanks to all the people who might answer me!

Answer 1

well, the area of a regular n-gon of diameter d is
n/2 r^2 sin(360°/n)
so see what you can do with that.

Answer 2

i'm still confused